A confectionery sells cranberry scones and cherry scones.
| Cranberry scones |
Cherry scones |
| 4 for $2.20 |
3 for $2.70 |
Victoria bought an equal number of cranberry scones and cherry scones. She paid $33.60 more for the cherry scones and the cranberry scones.
- How many scones did she buy?
- How much did she spend altogether?
(a)
Victoria bought an equal number of cranberry scones and cherry scones. Make the number of cranberry scones and cherry scones 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 cranberry scones
= 3 x 2.20
= $6.60
Number of sets of 3 in 12
= 12 ÷ 3
= 4
Cost of 1 set of 12 cherry scones
= 4 x 2.70
= $10.80
Amount that Victoria paid more for 1 set of 12 cherry scones than 1 set of 12 cranberry scones
= 10.80 - 6.60
= $4.20
Number of sets of $4.20
= 33.60 ÷ 4.20
= 8
Total number of scones in 1 set of 12 cherry scones and 12 cranberry scones
= 2 x 12
= 24
Number of scones that Victoria bought
= 8 x 24
= 192
(b)
Cost of scones in 1 set of 12 cherry scones and 12 cranberry scones
= 6.60 + 10.80
= $17.40
Total amount that Victoria spent altogether
= 8 x 17.40
= $139.20
Answer(s): (a) 192 ; (b) $139.20
