A confectionery sells blueberry croissants and cranberry croissants.
| Blueberry croissants |
Cranberry croissants |
| 6 for $3.10 |
4 for $3.70 |
Emma bought an equal number of blueberry croissants and cranberry croissants. She paid $29.40 more for the cranberry croissants and the blueberry croissants.
- How many croissants did she buy?
- How much did she spend altogether?
(a)
Emma bought an equal number of blueberry croissants and cranberry croissants. Make the number of blueberry croissants and cranberry 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 blueberry croissants
= 2 x 3.10
= $6.20
Number of sets of 4 in 12
= 12 ÷ 4
= 3
Cost of 1 set of 12 cranberry croissants
= 3 x 3.70
= $11.10
Amount that Emma paid more for 1 set of 12 cranberry croissants than 1 set of 12 blueberry croissants
= 11.10 - 6.20
= $4.90
Number of sets of $4.90
= 29.40 ÷ 4.90
= 6
Total number of croissants in 1 set of 12 cranberry croissants and 12 blueberry croissants
= 2 x 12
= 24
Number of croissants that Emma bought
= 6 x 24
= 144
(b)
Cost of croissants in 1 set of 12 cranberry croissants and 12 blueberry croissants
= 6.20 + 11.10
= $17.30
Total amount that Emma spent altogether
= 6 x 17.30
= $103.80
Answer(s): (a) 144 ; (b) $103.80
