Jade spent $128 to buy some boxes of apricot and banana shortbreads. Each box of apricot shortbreads cost $6 and each box of banana shortbreads cost $8. The apricot shortbreads were packed in boxes of 10 shortbreads each and the banana shortbreads were packed in boxes of 8 shortbreads each. She bought an equal number of apricot shortbreads and banana shortbreads.
(a) How many boxes of apricot shortbreads did she buy?
(b) How many boxes of banana shortbreads did she buy?
(a)
Total number of apricot shortbreads and banana shortbreads is the same.

LCM of 10 and 8 = 40

Number of boxes for 40 apricot shortbreads
= 40 ÷ 10
= 4

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

1 set = 4 boxes of apricot shortbreads and 5 boxes of banana shortbreads

Cost of 1 set
= 4 x 6 + 5 x 8
= 24 + 40
= $64

Number of sets
= 128 ÷ 64
= 2

Boxes of apricot shortbreads
= 2 x 4
= 8

(b)
Boxes of banana shortbreads
= 2 x 5
= 10

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