Tiffany spent $448 to buy some boxes of cheese and banana tarts. Each box of cheese tarts cost $8 and each box of banana tarts cost $9. The cheese tarts were packed in boxes of 8 tarts each and the banana tarts were packed in boxes of 5 tarts each. She bought an equal number of cheese tarts and banana tarts.
(a) How many boxes of cheese tarts did she buy?
(b) How many boxes of banana tarts did she buy?
(a)
Total number of cheese tarts and banana tarts is the same.

LCM of 8 and 5 = 40

Number of boxes for 40 cheese tarts
= 40 ÷ 8
= 5

Number of boxes for 40 banana tarts
= 40 ÷ 5
= 8

1 set = 5 boxes of cheese tarts and 8 boxes of banana tarts

Cost of 1 set
= 5 x 8 + 8 x 9
= 40 + 72
= $112

Number of sets
= 448 ÷ 112
= 4

Boxes of cheese tarts
= 4 x 5
= 20

(b)
Boxes of banana tarts
= 4 x 8
= 32

Answer(s): (a) 20; (b) 32