Shannon spent $230 to buy some boxes of cherry and cranberry croissants. Each box of cherry croissants cost $7 and each box of cranberry croissants cost $10. The cherry croissants were packed in boxes of 8 croissants each and the cranberry croissants were packed in boxes of 5 croissants each. She bought an equal number of cherry croissants and cranberry croissants.
(a) How many boxes of cherry croissants did she buy?
(b) How many boxes of cranberry croissants did she buy?
(a)
Total number of cherry croissants and cranberry croissants is the same.

LCM of 8 and 5 = 40

Number of boxes for 40 cherry croissants
= 40 ÷ 8
= 5

Number of boxes for 40 cranberry croissants
= 40 ÷ 5
= 8

1 set = 5 boxes of cherry croissants and 8 boxes of cranberry croissants

Cost of 1 set
= 5 x 7 + 8 x 10
= 35 + 80
= $115

Number of sets
= 230 ÷ 115
= 2

Boxes of cherry croissants
= 2 x 5
= 10

(b)
Boxes of cranberry croissants
= 2 x 8
= 16

Answer(s): (a) 10; (b) 16