A confectionery sells cranberry scones and cheese scones.
| Cranberry scones |
Cheese scones |
| 7 for $2.30 |
5 for $3.70 |
Julie bought an equal number of cranberry scones and cheese scones. She paid $100.80 more for the cheese scones and the cranberry scones.
- How many scones did she buy?
- How much did she spend altogether?
(a)
Julie bought an equal number of cranberry scones and cheese scones. Make the number of cranberry scones and cheese 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 cranberry scones
= 5 x 2.30
= $11.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 cheese scones
= 7 x 3.70
= $25.90
Amount that Julie paid more for 1 set of 35 cheese scones than 1 set of 35 cranberry scones
= 25.90 - 11.50
= $14.40
Number of sets of $14.40
= 100.80 ÷ 14.40
= 7
Total number of scones in 1 set of 35 cheese scones and 35 cranberry scones
= 2 x 35
= 70
Number of scones that Julie bought
= 7 x 70
= 490
(b)
Cost of scones in 1 set of 35 cheese scones and 35 cranberry scones
= 11.50 + 25.90
= $37.40
Total amount that Julie spent altogether
= 7 x 37.40
= $261.80
Answer(s): (a) 490 ; (b) $261.80
