A confectionery sells apricot croissants and blueberry croissants.
Apricot croissants |
Blueberry croissants |
6 for $3.30 |
5 for $4.30 |
Jen bought an equal number of apricot croissants and blueberry croissants. She paid $65.10 more for the blueberry croissants and the apricot croissants.
- How many croissants did she buy?
- How much did she spend altogether?
(a)
Jen bought an equal number of apricot croissants and blueberry croissants. Make the number of apricot croissants and blueberry croissants the same. LCM of 6 and 5 is 30.
Number of sets of 6 in 30
= 30 ÷ 6
= 5
Cost of 1 set of 30 apricot croissants
= 5 x 3.30
= $16.50
Number of sets of 5 in 30
= 30 ÷ 5
= 6
Cost of 1 set of 30 blueberry croissants
= 6 x 4.30
= $25.80
Amount that Jen paid more for 1 set of 30 blueberry croissants than 1 set of 30 apricot croissants
= 25.80 - 16.50
= $9.30
Number of sets of $9.30
= 65.10 ÷ 9.30
= 7
Total number of croissants in 1 set of 30 blueberry croissants and 30 apricot croissants
= 2 x 30
= 60
Number of croissants that Jen bought
= 7 x 60
= 420
(b)
Cost of croissants in 1 set of 30 blueberry croissants and 30 apricot croissants
= 16.50 + 25.80
= $42.30
Total amount that Jen spent altogether
= 7 x 42.30
= $296.10
Answer(s): (a) 420 ; (b) $296.10