The ratio of the number of scones to the number of shortbreads in a kiosk is 2 : 1. A scone costs $1.30 and a shortbread costs $0.30. If all the scones and shortbreads are sold, a sum of $87 will be collected. How many scones are there altogether?
| |
Scones |
Shortbreads |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.30 |
$0.30 |
|
| Total value |
2.6 u |
0.3 u |
$87 |
Amount collected if all the scones are sold
= 2 u x 1.3
= 2.6 u
Amount collected if all the shortbreads are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the scones and shortbreads are sold
= 2.6 u + 0.3 u
= 2.9 u
2.9 u = 87
1 u = 87 ÷ 2.9 = 30
Total number of scones
= 2 u
= 2 x 30
= 60
Answer(s): 60
