A confectionery sells apricot scones and cheese scones.
| Apricot scones |
Cheese scones |
| 7 for $2.10 |
5 for $2.30 |
Jean bought an equal number of apricot scones and cheese scones. She paid $16.80 more for the cheese scones and the apricot scones.
- How many scones did she buy?
- How much did she spend altogether?
(a)
Jean bought an equal number of apricot scones and cheese scones. Make the number of apricot 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 apricot scones
= 5 x 2.10
= $10.50
Number of sets of 5 in 35
= 35 ÷ 5
= 7
Cost of 1 set of 35 cheese scones
= 7 x 2.30
= $16.10
Amount that Jean paid more for 1 set of 35 cheese scones than 1 set of 35 apricot scones
= 16.10 - 10.50
= $5.60
Number of sets of $5.60
= 16.80 ÷ 5.60
= 3
Total number of scones in 1 set of 35 cheese scones and 35 apricot scones
= 2 x 35
= 70
Number of scones that Jean bought
= 3 x 70
= 210
(b)
Cost of scones in 1 set of 35 cheese scones and 35 apricot scones
= 10.50 + 16.10
= $26.60
Total amount that Jean spent altogether
= 3 x 26.60
= $79.80
Answer(s): (a) 210 ; (b) $79.80
