A confectionery sells cherry croissants and chocolate chip croissants.
| Cherry croissants |
Chocolate chip croissants |
| 4 for $2.60 |
3 for $2.40 |
Marion bought an equal number of cherry croissants and chocolate chip croissants. She paid $10.80 more for the chocolate chip croissants and the cherry croissants.
- How many croissants did she buy?
- How much did she spend altogether?
(a)
Marion bought an equal number of cherry croissants and chocolate chip croissants. Make the number of cherry croissants and chocolate chip croissants the same. LCM of 4 and 3 is 12.
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 cherry croissants
= 3 x 2.60
= $7.80
Number of sets of 3 in 12
= 12 ÷ 3
= 4
Cost of 1 set of 12 chocolate chip croissants
= 4 x 2.40
= $9.60
Amount that Marion paid more for 1 set of 12 chocolate chip croissants than 1 set of 12 cherry croissants
= 9.60 - 7.80
= $1.80
Number of sets of $1.80
= 10.80 ÷ 1.80
= 6
Total number of croissants in 1 set of 12 chocolate chip croissants and 12 cherry croissants
= 2 x 12
= 24
Number of croissants that Marion bought
= 6 x 24
= 144
(b)
Cost of croissants in 1 set of 12 chocolate chip croissants and 12 cherry croissants
= 7.80 + 9.60
= $17.40
Total amount that Marion spent altogether
= 6 x 17.40
= $104.40
Answer(s): (a) 144 ; (b) $104.40
