A confectionery sells chocolate chip croissants and cheese croissants.
Chocolate chip croissants |
Cheese croissants |
6 for $2.60 |
4 for $4.30 |
Cindy bought an equal number of chocolate chip croissants and cheese croissants. She paid $38.50 more for the cheese croissants and the chocolate chip croissants.
- How many croissants did she buy?
- How much did she spend altogether?
(a)
Cindy bought an equal number of chocolate chip croissants and cheese croissants. Make the number of chocolate chip croissants and cheese croissants the same. LCM of 6 and 4 is 12.
Number of sets of 6 in 12
= 12 ÷ 6
= 2
Cost of 1 set of 12 chocolate chip croissants
= 2 x 2.60
= $5.20
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 cheese croissants
= 3 x 4.30
= $12.90
Amount that Cindy paid more for 1 set of 12 cheese croissants than 1 set of 12 chocolate chip croissants
= 12.90 - 5.20
= $7.70
Number of sets of $7.70
= 38.50 ÷ 7.70
= 5
Total number of croissants in 1 set of 12 cheese croissants and 12 chocolate chip croissants
= 2 x 12
= 24
Number of croissants that Cindy bought
= 5 x 24
= 120
(b)
Cost of croissants in 1 set of 12 cheese croissants and 12 chocolate chip croissants
= 5.20 + 12.90
= $18.10
Total amount that Cindy spent altogether
= 5 x 18.10
= $90.50
Answer(s): (a) 120 ; (b) $90.50