Hazel spent $204 to buy some boxes of chocolate chip and cheese muffins. Each box of chocolate chip muffins cost $6 and each box of cheese muffins cost $12. The chocolate chip muffins were packed in boxes of 12 muffins each and the cheese muffins were packed in boxes of 10 muffins each. She bought an equal number of chocolate chip muffins and cheese muffins.
(a) How many boxes of chocolate chip muffins did she buy?
(b) How many boxes of cheese muffins did she buy?
(a)
Total number of chocolate chip muffins and cheese muffins is the same.

LCM of 12 and 10 = 60

Number of boxes for 60 chocolate chip muffins
= 60 ÷ 12
= 5

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

1 set = 5 boxes of chocolate chip muffins and 6 boxes of cheese muffins

Cost of 1 set
= 5 x 6 + 6 x 12
= 30 + 72
= $102

Number of sets
= 204 ÷ 102
= 2

Boxes of chocolate chip muffins
= 2 x 5
= 10

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

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