Jade spent $501 to buy some boxes of cheese and apricot scones. Each box of cheese scones cost $7 and each box of apricot scones cost $11. The cheese scones were packed in boxes of 12 scones each and the apricot scones were packed in boxes of 5 scones each. She bought an equal number of cheese scones and apricot scones.
(a) How many boxes of cheese scones did she buy?
(b) How many boxes of apricot scones did she buy?
(a)
Total number of cheese scones and apricot scones is the same.

LCM of 12 and 5 = 60

Number of boxes for 60 cheese scones
= 60 ÷ 12
= 5

Number of boxes for 60 apricot scones
= 60 ÷ 5
= 12

1 set = 5 boxes of cheese scones and 12 boxes of apricot scones

Cost of 1 set
= 5 x 7 + 12 x 11
= 35 + 132
= $167

Number of sets
= 501 ÷ 167
= 3

Boxes of cheese scones
= 3 x 5
= 15

(b)
Boxes of apricot scones
= 3 x 12
= 36

Answer(s): (a) 15; (b) 36