A confectionery sells apricot scones and strawberry scones.
Apricot scones |
Strawberry scones |
7 for $3.90 |
5 for $4.40 |
Joelle bought an equal number of apricot scones and strawberry scones. She paid $90.40 more for the strawberry scones and the apricot scones.
- How many scones did she buy?
- How much did she spend altogether?
(a)
Joelle bought an equal number of apricot scones and strawberry scones. Make the number of apricot scones and strawberry scones the same. LCM of 7 and 5 is 35.
Number of sets of 7 in 35
= 35 ÷ 7
= 5
Cost of 1 set of 35 apricot scones
= 5 x 3.90
= $19.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 strawberry scones
= 7 x 4.40
= $30.80
Amount that Joelle paid more for 1 set of 35 strawberry scones than 1 set of 35 apricot scones
= 30.80 - 19.50
= $11.30
Number of sets of $11.30
= 90.40 ÷ 11.30
= 8
Total number of scones in 1 set of 35 strawberry scones and 35 apricot scones
= 2 x 35
= 70
Number of scones that Joelle bought
= 8 x 70
= 560
(b)
Cost of scones in 1 set of 35 strawberry scones and 35 apricot scones
= 19.50 + 30.80
= $50.30
Total amount that Joelle spent altogether
= 8 x 50.30
= $402.40
Answer(s): (a) 560 ; (b) $402.40