Lucy spent $110 to buy some boxes of cheese and cherry tarts. Each box of cheese tarts cost $5 and each box of cherry tarts cost $7. The cheese tarts were packed in boxes of 10 tarts each and the cherry tarts were packed in boxes of 8 tarts each. She bought an equal number of cheese tarts and cherry tarts.
(a) How many boxes of cheese tarts did she buy?
(b) How many boxes of cherry tarts did she buy?
(a)
Total number of cheese tarts and cherry tarts is the same.

LCM of 10 and 8 = 40

Number of boxes for 40 cheese tarts
= 40 ÷ 10
= 4

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

1 set = 4 boxes of cheese tarts and 5 boxes of cherry tarts

Cost of 1 set
= 4 x 5 + 5 x 7
= 20 + 35
= $55

Number of sets
= 110 ÷ 55
= 2

Boxes of cheese tarts
= 2 x 4
= 8

(b)
Boxes of cherry tarts
= 2 x 5
= 10

Answer(s): (a) 8; (b) 10