The table shows the prices of shortbreads at two shops. The shortbreads are only sold in sets of 7 shortbreads in Tina's Bakery or sets of 8 shortbreads in Esther's Bakery.
Shop |
Price of shortbreads |
Tina's Bakery |
7 for $8 |
Esther's Bakery |
8 for $10 |
- Barbara has $21.40. She wants to buy 24 shortbreads from Esther's Bakery. How much more money does she need to buy the 24 shortbreads?
- Peter has $53. He wants to buy the greatest possible number of shortbreads with his money from one of the two shops. What is the greatest possible number of shortbreads he can buy with his money?
(a)
Number of sets of 8 shortbreads
= 24 ÷ 8
= 3
Cost of 24 shortbreads
= 3 x 10
= $30
Amount that Barbara needs more to buy the 24 shortbreads
= 30 - 21.40
= $8.60
(b)
Number of sets of 7 shortbreads that Peter could buy at Tina's Bakery
= 53 ÷ 8
= 6 r 5
Number of shortbreads that Peter could buy at Tina's Bakery
= 6 x 7
= 42
(More)Number of sets of 8 shortbreads that Peter could buy at Esther's Bakery
= 53 ÷ 10
= 5 r 3
Number of shortbreads that Peter could buy at Esther's Bakery
= 5 x 8
= 40
Greatest possible number of shortbreads that Peter can buy with his money = 42
Answer(s): (a) $8.60; (b) 42