The ratio of the number of scones to the number of cupcakes in a supermarket is 2 : 1. A scone costs $1.70 and a cupcake costs $0.70. If all the scones and cupcakes are sold, a sum of $82 will be collected. How many scones are there altogether?
| |
Scones |
Cupcakes |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.70 |
$0.70 |
|
| Total value |
3.4 u |
0.7 u |
$82 |
Amount collected if all the scones are sold
= 2 u x 1.7
= 3.4 u
Amount collected if all the cupcakes are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the scones and cupcakes are sold
= 3.4 u + 0.7 u
= 4.1 u
4.1 u = 82
1 u = 82 ÷ 4.1 = 20
Total number of scones
= 2 u
= 2 x 20
= 40
Answer(s): 40
