The table shows the prices of cupcakes at two shops. The cupcakes are only sold in sets of 8 cupcakes in Tina's Bakery or sets of 9 cupcakes in Lucy's Bakery.
Shop |
Price of cupcakes |
Tina's Bakery |
8 for $9 |
Lucy's Bakery |
9 for $11 |
- Roshel has $30.20. She wants to buy 45 cupcakes from Lucy's Bakery. How much more money does she need to buy the 45 cupcakes?
- Harry has $82. He wants to buy the greatest possible number of cupcakes with his money from one of the two shops. What is the greatest possible number of cupcakes he can buy with his money?
(a)
Number of sets of 9 cupcakes
= 45 ÷ 9
= 5
Cost of 45 cupcakes
= 5 x 11
= $55
Amount that Roshel needs more to buy the 45 cupcakes
= 55 - 30.20
= $24.80
(b)
Number of sets of 8 cupcakes that Harry could buy at Tina's Bakery
= 82 ÷ 9
= 9 r 1
Number of cupcakes that Harry could buy at Tina's Bakery
= 9 x 8
= 72
(More)Number of sets of 9 cupcakes that Harry could buy at Lucy's Bakery
= 82 ÷ 11
= 7 r 5
Number of cupcakes that Harry could buy at Lucy's Bakery
= 7 x 9
= 63
Greatest possible number of cupcakes that Harry can buy with his money = 72
Answer(s): (a) $24.80; (b) 72