Emily spent $212 to buy some boxes of vanilla and cheese macarons. Each box of vanilla macarons cost $8 and each box of cheese macarons cost $11. The vanilla macarons were packed in boxes of 12 macarons each and the cheese macarons were packed in boxes of 10 macarons each. She bought an equal number of vanilla macarons and cheese macarons.
(a) How many boxes of vanilla macarons did she buy?
(b) How many boxes of cheese macarons did she buy?
(a)
Total number of vanilla macarons and cheese macarons is the same.

LCM of 12 and 10 = 60

Number of boxes for 60 vanilla macarons
= 60 ÷ 12
= 5

Number of boxes for 60 cheese macarons
= 60 ÷ 10
= 6

1 set = 5 boxes of vanilla macarons and 6 boxes of cheese macarons

Cost of 1 set
= 5 x 8 + 6 x 11
= 40 + 66
= $106

Number of sets
= 212 ÷ 106
= 2

Boxes of vanilla macarons
= 2 x 5
= 10

(b)
Boxes of cheese macarons
= 2 x 6
= 12

Answer(s): (a) 10; (b) 12