Ivory spent $504 to buy some boxes of apricot and apple cookies. Each box of apricot cookies cost $6 and each box of apple cookies cost $8. The apricot cookies were packed in boxes of 12 cookies each and the apple cookies were packed in boxes of 5 cookies each. She bought an equal number of apricot cookies and apple cookies.
(a) How many boxes of apricot cookies did she buy?
(b) How many boxes of apple cookies did she buy?
(a)
Total number of apricot cookies and apple cookies is the same.

LCM of 12 and 5 = 60

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

Number of boxes for 60 apple cookies
= 60 ÷ 5
= 12

1 set = 5 boxes of apricot cookies and 12 boxes of apple cookies

Cost of 1 set
= 5 x 6 + 12 x 8
= 30 + 96
= $126

Number of sets
= 504 ÷ 126
= 4

Boxes of apricot cookies
= 4 x 5
= 20

(b)
Boxes of apple cookies
= 4 x 12
= 48

Answer(s): (a) 20; (b) 48