Kylie spent $124 to buy some boxes of vanilla and apple macarons. Each box of vanilla macarons cost $5 and each box of apple macarons cost $7. The vanilla macarons were packed in boxes of 12 macarons each and the apple macarons were packed in boxes of 8 macarons each. She bought an equal number of vanilla macarons and apple macarons.
(a) How many boxes of vanilla macarons did she buy?
(b) How many boxes of apple macarons did she buy?
(a)
Total number of vanilla macarons and apple macarons is the same.

LCM of 12 and 8 = 24

Number of boxes for 24 vanilla macarons
= 24 ÷ 12
= 2

Number of boxes for 24 apple macarons
= 24 ÷ 8
= 3

1 set = 2 boxes of vanilla macarons and 3 boxes of apple macarons

Cost of 1 set
= 2 x 5 + 3 x 7
= 10 + 21
= $31

Number of sets
= 124 ÷ 31
= 4

Boxes of vanilla macarons
= 4 x 2
= 8

(b)
Boxes of apple macarons
= 4 x 3
= 12

Answer(s): (a) 8; (b) 12