The table shows the prices of cupcakes at two shops. The cupcakes are only sold in sets of 8 cupcakes in Gwen's Bakery or sets of 9 cupcakes in Xuan's Bakery.
| Shop |
Price of cupcakes |
| Gwen's Bakery |
8 for $8 |
| Xuan's Bakery |
9 for $10 |
- Sarah has $47.10. She wants to buy 45 cupcakes from Xuan's Bakery. How much more money does she need to buy the 45 cupcakes?
- Dylan has $63. 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 10
= $50
Amount that Sarah needs more to buy the 45 cupcakes
= 50 - 47.10
= $2.90
(b)
Number of sets of 8 cupcakes that Dylan could buy at Gwen's Bakery
= 63 ÷ 8
= 7 r 7
Number of cupcakes that Dylan could buy at Gwen's Bakery
= 7 x 8
= 56
(More)Number of sets of 9 cupcakes that Dylan could buy at Xuan's Bakery
= 63 ÷ 10
= 6 r 3
Number of cupcakes that Dylan could buy at Xuan's Bakery
= 6 x 9
= 54
Greatest possible number of cupcakes that Dylan can buy with his money = 56
Answer(s): (a) $2.90; (b) 56
