The table shows the prices of tarts at two shops. The tarts are only sold in sets of 7 tarts in Sarah's Bakery or sets of 8 tarts in Diana's Bakery.
Shop |
Price of tarts |
Sarah's Bakery |
7 for $8 |
Diana's Bakery |
8 for $10 |
- Nora has $32.50. She wants to buy 32 tarts from Diana's Bakery. How much more money does she need to buy the 32 tarts?
- David has $89. He wants to buy the greatest possible number of tarts with his money from one of the two shops. What is the greatest possible number of tarts he can buy with his money?
(a)
Number of sets of 8 tarts
= 32 ÷ 8
= 4
Cost of 32 tarts
= 4 x 10
= $40
Amount that Nora needs more to buy the 32 tarts
= 40 - 32.50
= $7.50
(b)
Number of sets of 7 tarts that David could buy at Sarah's Bakery
= 89 ÷ 8
= 11 r 1
Number of tarts that David could buy at Sarah's Bakery
= 11 x 7
= 77
(More)Number of sets of 8 tarts that David could buy at Diana's Bakery
= 89 ÷ 10
= 8 r 9
Number of tarts that David could buy at Diana's Bakery
= 8 x 8
= 64
Greatest possible number of tarts that David can buy with his money = 77
Answer(s): (a) $7.50; (b) 77