2
© The Mailbox ® Name Using variables Date Cupcakes 'n' More Complete each equation and solve for the variable. Then write the answer on the line. There are three children in the Eaton family. Their combined ages equal 35 years. Ima is 12 years old, and her sister, Missy, is nine. How old is their brother, Ben? n = _______________ 12 + 9 + n = _____ The bakery case holds 750 cupcakes. There are 50 cupcakes in each row. How many rows are there? _____ = 50n The Eatons baked twice as many cupcakes as cookies. They made 60 cupcakes and cookies in all. How many cupcakes did they bake? How many cookies? n + 2n = _____ Missy frosted 17 cupcakes before lunch. By 4:00 PM, she had frosted several times that many cupcakes. Missy frosted 68 cupcakes in all. How many cupcakes did she frost after lunch? 17 + n = _____ The Eatons baked a total of 528 cookies. There were two dozen cookies in each batch. How many batches did they bake? _____ x n = 528 The Eatons had a three- day cupcake sale. They sold twice as many cupcakes on Tuesday as they sold on Monday and three times as many on Wednesday as on Monday. They sold 900 cupcakes in all. How many cupcakes did they sell on Monday? n + 2n + 3n = _____ It took Ima two hours to make an apple pie. She spent 25 minutes making the filling and 20 minutes making the crust. How long did the pie bake? 25 + 20 + n = _____ The Eatons sell tubs of their famous chocolate icing. They sold ten 16-ounce tubs of icing and several eight-ounce tubs. Altogether they sold 280 ounces of icing. How many eight-ounce tubs did they sell? (10 x 16) + (n x _____ ) = _____ During a five-day period, Ben worked in the bakery for a total of 18 hours. He worked four hours a day for the first four days. How long did he work on the fifth day? (4 x 4) + n = _____ Mr. Eaton sold $1,000 worth of cupcakes and cookies. He sold 30 dozen cupcakes at $18 per dozen, and he sold cookies at $10 per dozen. How many dozen cookies did he sell? (30 x 18) + (n x 10) = _____ 1 2 3 4 5 6 7 8 9 10 Bonus: The Eatons sold 36 pies for $12 each. They also sold slices of pie for $3 each. In all, they made $600. How many slices of pie did they sell? Write and solve the equation. n = _______________ n = _______________ n = _______________ n = _______________ n = _______________ n = _______________ n = _______________ n = _______________ n = _______________

Math Worksheet- using variables.pdf

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  • Th

    e M

    ailb

    ox

    Nam

    e

    Usi

    ng

    vari

    able

    s

    Dat

    e

    Cu

    pc

    ak

    es

    'n

    ' M

    or

    eCo

    mpl

    ete

    each

    equ

    atio

    n an

    d so

    lve fo

    r the

    var

    iabl

    e.

    Then

    writ

    e th

    e an

    swer

    on

    the

    line.

    T

    here

    are

    thre

    e ch

    ildre

    n in

    the

    Eato

    n fa

    mily

    . The

    ir co

    mbi

    ned

    ages

    equ

    al 35

    ye

    ars.

    Ima

    is 12

    yea

    rs o

    ld,

    and

    her s

    ister

    , Miss

    y, is

    nin

    e.

    How

    old

    is th

    eir b

    roth

    er, B

    en?

    n =

    ___________

    ____

    12 +

    9 +

    n =

    _____

    T

    he b

    aker

    y ca

    se h

    olds

    75

    0 cu

    pcak

    es. T

    here

    ar

    e 50

    cup

    cake

    s in

    ea

    ch ro

    w. H

    ow m

    any

    row

    s ar

    e th

    ere?

    _____ =

    50

    n

    T

    he E

    aton

    s ba

    ked

    twice

    as

    man

    y cu

    pcak

    es a

    s co

    okie

    s. T

    hey

    mad

    e 60

    cu

    pcak

    es a

    nd c

    ookie

    s in

    al

    l. Ho

    w m

    any

    cupc

    akes

    di

    d th

    ey b

    ake?

    How

    m

    any

    cook

    ies?

    n +

    2n =

    _____

    M

    issy

    frost

    ed 1

    7 cu

    pcak

    es

    befo

    re lu

    nch.

    By

    4:00

    pm

    ,

    she

    had

    frost

    ed s

    ever

    al

    times

    that

    man

    y cu

    pcak

    es.

    Miss

    y fro

    sted

    68

    cupc

    akes

    in

    all.

    How

    man

    y cu

    pcak

    es

    did

    she

    frost

    afte

    r lun

    ch?

    17 +

    n =

    _____

    The

    Eato

    ns b

    aked

    a to

    tal

    of 5

    28 c

    ookie

    s. T

    here

    w

    ere

    two

    doze

    n co

    okie

    s in

    eac

    h ba

    tch.

    How

    man

    y ba

    tche

    s di

    d th

    ey b

    ake?

    _____ x

    n =

    52

    8

    T

    he E

    aton

    s ha

    d a

    thre

    e-da

    y cu

    pcak

    e sa

    le. T

    hey

    sold

    twice

    as

    man

    y cu

    pcak

    es o

    n Tu

    esda

    y as

    th

    ey s

    old

    on M

    onda

    y an

    d th

    ree

    times

    as

    man

    y on

    W

    edne

    sday

    as

    on M

    onda

    y.

    They

    sol

    d 90

    0 cu

    pcak

    es

    in a

    ll. Ho

    w m

    any

    cupc

    akes

    di

    d th

    ey s

    ell o

    n M

    onda

    y?

    n +

    2n +

    3n =

    _____

    It to

    ok Im

    a tw

    o ho

    urs

    to

    mak

    e an

    app

    le p

    ie. S

    he

    spen

    t 25

    min

    utes

    mak

    ing

    the

    fillin

    g an

    d 20

    minu

    tes

    mak

    ing

    the

    crus

    t. Ho

    w lo

    ng d

    id th

    e pie

    bak

    e?

    25 +

    20

    + n =

    _

    __

    __

    T

    he E

    aton

    s se

    ll tub

    s of

    th

    eir f

    amou

    s ch

    ocol

    ate

    icing

    . The

    y sold

    ten

    16-o

    unce

    tubs

    of i

    cing

    and

    seve

    ral e

    ight-o

    unce

    tu

    bs. A

    ltoge

    ther

    they

    sold

    280

    ounc

    es o

    f icin

    g. H

    ow

    man

    y ei

    ght-o

    unce

    tubs

    di

    d th

    ey s

    ell?

    (10 x

    16) +

    (n x

    __

    __

    _) =

    ____

    _

    D

    urin

    g a

    five-

    day p

    eriod

    , Be

    n wo

    rked

    in th

    e ba

    kery

    for a

    tota

    l of 1

    8 ho

    urs.

    He

    work

    ed fo

    ur

    hour

    s a

    day

    for t

    he fi

    rst

    four

    day

    s. H

    ow lo

    ng d

    id he

    wor

    k on

    the

    fifth

    day

    ?

    (4 x 4

    ) + n

    = _

    __

    __

    M

    r. Ea

    ton

    sold

    $1,00

    0 wort

    h of

    cup

    cake

    s and

    cook

    ies.

    He s

    old

    30 d

    ozen

    cup

    cake

    s at

    $18 p

    er do

    zen,

    and

    he

    sold

    coo

    kies

    at $1

    0 per

    doze

    n. H

    ow m

    any

    doze

    n co

    okie

    s di

    d he

    sel

    l?

    (30 x

    18) +

    (n x

    10) =

    ____

    _

    12

    34

    5

    67

    89

    10

    Bon

    us: T

    he E

    aton

    s so

    ld 3

    6 pi

    es fo

    r $12

    each

    . The

    y also

    sold

    slice

    s of p

    ie for

    $3 ea

    ch. In

    all, t

    hey m

    ade $

    600.

    How

    man

    y sli

    ces

    of p

    ie d

    id th

    ey s

    ell?

    Writ

    e an

    d so

    lve th

    e eq

    uatio

    n.

    n =

    ______

    _________

    n =

    _______________

    n =

    __

    __

    __

    __

    __

    ____

    _n

    =

    __

    __

    __

    __

    __

    ____

    _

    n =

    ___________

    ____

    n =

    _______

    ________

    n =

    _______________

    n =

    __

    __

    __

    __

    __

    ____

    _n

    =

    __

    __

    __

    __

    __

    ____

    _

  • The Mailbox

    Answer Key

    1. 12 + 9 + n = 35, 14 years old 2. n + 2n = 60; 40 cupcakes, 20 cookies 3. 24 x n = 528, 22 batches 4. 25 + 20 + n = 120, 1 hour and 15 minutes 5. (4 x 4) + n = 18, 2 hours 6. 750 = 50n,15 rows 7. 17 + n = 68, 51 cupcakes 8. n + 2n + 3n = 900, 150 cupcakes 9. (10 x 16) + (n x 8) = 280, 15 8-ounce tubs 10. (30 x 18) + (10 x n) = 1,000; 46 dozen

    Bonus: (36 x 12) + (n x 3) = 600, 56 slices