A confectionery sells banana scones and cranberry scones.
| Banana scones |
Cranberry scones |
| 5 for $4.70 |
4 for $4.90 |
Nicole bought an equal number of banana scones and cranberry scones. She paid $34.20 more for the cranberry scones and the banana scones.
- How many scones did she buy?
- How much did she spend altogether?
(a)
Nicole bought an equal number of banana scones and cranberry scones. Make the number of banana scones and cranberry scones the same. LCM of 5 and 4 is 20.
Number of sets of 5 in 20
= 20 ÷ 5
= 4
Cost of 1 set of 20 banana scones
= 4 x 4.70
= $18.80
Number of sets of 4 in 20
= 20 ÷ 4
= 5
Cost of 1 set of 20 cranberry scones
= 5 x 4.90
= $24.50
Amount that Nicole paid more for 1 set of 20 cranberry scones than 1 set of 20 banana scones
= 24.50 - 18.80
= $5.70
Number of sets of $5.70
= 34.20 ÷ 5.70
= 6
Total number of scones in 1 set of 20 cranberry scones and 20 banana scones
= 2 x 20
= 40
Number of scones that Nicole bought
= 6 x 40
= 240
(b)
Cost of scones in 1 set of 20 cranberry scones and 20 banana scones
= 18.80 + 24.50
= $43.30
Total amount that Nicole spent altogether
= 6 x 43.30
= $259.80
Answer(s): (a) 240 ; (b) $259.80
