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1
Aim # 11: How Do We Solve “Coin” and “Ticket” Problems?
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YourGateway
ToRelaxation
3
4
ZoombasAnkas
5
ZoombasAnkas
6
ZoombasAnkas
7
ZoombasAnkas
8
ZoombasAnkas
9
ZoombasAnkasA
8 −A
Total # of Ankas + Total # of Zoombas = Total # of Coins
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Zoombas=$0.35Ankas = $0.12
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Zoombas=$0.35Ankas = $0.12
12
Zoombas=$0.35Ankas = $0.12
0.12(1) + 0.35(7) = 2.57
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Zoombas=$0.35Ankas = $0.12
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Zoombas=$0.35Ankas = $0.12
0.12(2) + 0.35(6) = 2.34
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Zoombas=$0.35Ankas = $0.12
0.12(3) + 0.35(5)= 2.11
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Zoombas=$0.35Ankas = $0.12
0.12(3) + 0.35(8 −3) = 2.11
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Zoombas=$0.35Ankas = $0.12
Total $ValueOf Ankas
Total Amtin US $
A 8 −A
0.12(A) + 0.35(8− A) = $
Total $ValueOf Zoombas+ =
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Value Per
CoinX
Number Of
Coins=
Total Value
OfThe
Coins
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Value Per
That Type of
Coin
XNumber
OfThat
Type ofCoin
=
Total Value
OfThat
Type ofCoin
20
TotalValue
ofCoin #1
+Total
Value Of
Coin #2
=
TotalValue
OfAll Coins
PutTogether
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Ex # 1
Your uncle is jingling the coins in his pocket and asks you a riddle. “I have 30 coins in my pocket. They are pennies and quarters. The thirty coins add up to $ 4. 86. How many of each coin do I have?
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Ex # 2
In the game Monopoly, I own 7 more hotels than I own houses. My hotels cost me $450 each, and my houses cost me $160 each. If I spent a total of $5,590, how many hotels and how many houses did I purchase?
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Ex # 3
Three-hundred fifty adults and children attended the school play. The revenue from selling the tickets was $1,650. If adult’s tickets were $6 each, and children’s tickets were $3 each, how many adults and how many children attended the school play?
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Ex # 4
Your brother says he has $2.65 in his Spongebob Bank. You know he has only nickels and dimes in the bank, and he has a total of 33 coins. How many nickels and how many dimes are in your brother’s bank?
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Textbook:
Problems
p. 423, qq. 3, 4, 5p. 434, qq. 7, 8