Hazel spent $340 to buy some boxes of apricot and apple tarts. Each box of apricot tarts cost $5 and each box of apple tarts cost $10. The apricot tarts were packed in boxes of 6 tarts each and the apple tarts were packed in boxes of 5 tarts each. She bought an equal number of apricot tarts and apple tarts.
(a) How many boxes of apricot tarts did she buy?
(b) How many boxes of apple tarts did she buy?
(a)
Total number of apricot tarts and apple tarts is the same.

LCM of 6 and 5 = 30

Number of boxes for 30 apricot tarts
= 30 ÷ 6
= 5

Number of boxes for 30 apple tarts
= 30 ÷ 5
= 6

1 set = 5 boxes of apricot tarts and 6 boxes of apple tarts

Cost of 1 set
= 5 x 5 + 6 x 10
= 25 + 60
= $85

Number of sets
= 340 ÷ 85
= 4

Boxes of apricot tarts
= 4 x 5
= 20

(b)
Boxes of apple tarts
= 4 x 6
= 24

Answer(s): (a) 20; (b) 24