The table shows the prices of tarts at two shops. The tarts are only sold in sets of 4 tarts in Kimberly's Bakery or sets of 5 tarts in Cindy's Bakery.
Shop |
Price of tarts |
Kimberly's Bakery |
4 for $14 |
Cindy's Bakery |
5 for $17 |
- Shannon has $39.10. She wants to buy 25 tarts from Cindy's Bakery. How much more money does she need to buy the 25 tarts?
- Paul has $69. 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 5 tarts
= 25 ÷ 5
= 5
Cost of 25 tarts
= 5 x 17
= $85
Amount that Shannon needs more to buy the 25 tarts
= 85 - 39.10
= $45.90
(b)
Number of sets of 4 tarts that Paul could buy at Kimberly's Bakery
= 69 ÷ 14
= 4 r 13
Number of tarts that Paul could buy at Kimberly's Bakery
= 4 x 4
= 16
Number of sets of 5 tarts that Paul could buy at Cindy's Bakery
= 69 ÷ 17
= 4 r 1
Number of tarts that Paul could buy at Cindy's Bakery
= 4 x 5
= 20
(More)Greatest possible number of tarts that Paul can buy with his money = 20
Answer(s): (a) $45.90; (b) 20