The table shows the prices of tarts at two shops. The tarts are only sold in sets of 3 tarts in Yen's Bakery or sets of 4 tarts in Fanny's Bakery.

Shop	Price of tarts
Yen's Bakery	3 for $14
Fanny's Bakery	4 for $17

1. Gillian has $45.30. She wants to buy 16 tarts from Fanny's Bakery. How much more money does she need to buy the 16 tarts?
2. Rael has $55. 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 4 tarts
= 16 ÷ 4
= 4

Cost of 16 tarts 
= 4 x 17
= $68

Amount that Gillian needs more to buy the 16 tarts
= 68 - 45.30
= $22.70

(b)
Number of sets of 3 tarts that Rael could buy at Yen's Bakery
= 55 ÷ 14
= 3 r 13

Number of tarts that Rael could buy at Yen's Bakery
= 3 x 3
= 9 

Number of sets of 4 tarts that Rael could buy at Fanny's Bakery
= 55 ÷ 17
= 3 r 4

Number of tarts that Rael could buy at Fanny's Bakery
= 3 x 4
= 12 (More)

Greatest possible number of tarts that Rael can buy with his money = 12

Answer(s): (a) $22.70; (b) 12