The table shows the prices of cupcakes at two shops. The cupcakes are only sold in sets of 3 cupcakes in Abi's Bakery or sets of 4 cupcakes in Ivory's Bakery.

Shop	Price of cupcakes
Abi's Bakery	3 for $9
Ivory's Bakery	4 for $12

1. Diana has $36.90. She wants to buy 16 cupcakes from Ivory's Bakery. How much more money does she need to buy the 16 cupcakes?
2. Ahmad 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 4 cupcakes
= 16 ÷ 4
= 4

Cost of 16 cupcakes 
= 4 x 12
= $48

Amount that Diana needs more to buy the 16 cupcakes
= 48 - 36.90
= $11.10

(b)
Number of sets of 3 cupcakes that Ahmad could buy at Abi's Bakery
= 82 ÷ 9
= 9 r 1

Number of cupcakes that Ahmad could buy at Abi's Bakery
= 9 x 3
= 27 (More)

Number of sets of 4 cupcakes that Ahmad could buy at Ivory's Bakery
= 82 ÷ 12
= 6 r 10

Number of cupcakes that Ahmad could buy at Ivory's Bakery
= 6 x 4
= 24

Greatest possible number of cupcakes that Ahmad can buy with his money = 27

Answer(s): (a) $11.10; (b) 27