A confectionery sells vanilla croissants and blueberry croissants.
| Vanilla croissants |
Blueberry croissants |
| 4 for $4.10 |
3 for $4.20 |
Hilda bought an equal number of vanilla croissants and blueberry croissants. She paid $31.50 more for the blueberry croissants and the vanilla croissants.
- How many croissants did she buy?
- How much did she spend altogether?
(a)
Hilda bought an equal number of vanilla croissants and blueberry croissants. Make the number of vanilla croissants and blueberry 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 vanilla croissants
= 3 x 4.10
= $12.30
Number of sets of 3 in 12
= 12 ÷ 3
= 4
Cost of 1 set of 12 blueberry croissants
= 4 x 4.20
= $16.80
Amount that Hilda paid more for 1 set of 12 blueberry croissants than 1 set of 12 vanilla croissants
= 16.80 - 12.30
= $4.50
Number of sets of $4.50
= 31.50 ÷ 4.50
= 7
Total number of croissants in 1 set of 12 blueberry croissants and 12 vanilla croissants
= 2 x 12
= 24
Number of croissants that Hilda bought
= 7 x 24
= 168
(b)
Cost of croissants in 1 set of 12 blueberry croissants and 12 vanilla croissants
= 12.30 + 16.80
= $29.10
Total amount that Hilda spent altogether
= 7 x 29.10
= $203.70
Answer(s): (a) 168 ; (b) $203.70
