Simultaneous Equations Problems

Algebra

Simultaneous Equations Problems

5 pens and 3 pencils cost £0·99 while 1 pen and 2 pencils cost £0·31. Make two equations and solve them to find the cost of each.

1.

An apple and an orange cost £0·14 while the difference between their prices is £0·02 with the apple costing more.Make two equations and solve them to find the cost of each.

2.

Simultaneous Equations Problems

3 plum trees and 2 cherry trees cost £161 while 2 plum trees and 3 cherry trees cost £154.

Make two equations and solve them to find the cost of each.

3.

4 bottles of red wine and 5 bottles of white wine cost £35·50 while one bottle of each cost £8. Find the cost of each.

4.

Simultaneous Equations Problems

3 chairs and 2 tables cost £169 while 1 chair and 4 tables cost £193.

Find the cost of each.

Tickets on sale for a concert are £25 each for the front section and £20 each for the back

section of the theatre. If 212 people attended the concert

and the total receipts were £4980, how many of each price of ticket were sold ?

5.

6.

Simultaneous Equations Problems

Meals in a restaurant are available at £28 per person for the fish courses menu and £30 per person

for the meat courses menu. There are 95 guests attending the

function in the restaurant and the total bill came to £2760.

How many guests chose each menu ?

7.

Calendars cost £9 and £5 each and are on sale in a card shop. If 760 calendars are sold and the total takings for them were £5240,how many of each price of calendar were sold ?

8.