The ratio of the number of scones to the number of cupcakes in a supermarket is 6 : 1. A scone costs $1.20 and a cupcake costs $0.90. If all the scones and cupcakes are sold, a sum of $81 will be collected. How many scones are there altogether?
|
Scones |
Cupcakes |
Total |
Number |
6 u |
1 u |
|
Value |
$1.20 |
$0.90 |
|
Total value |
7.2 u |
0.9 u |
$81 |
Amount collected if all the scones are sold
= 6 u x 1.2
= 7.2 u
Amount collected if all the cupcakes are sold
= 1 u x 0.9 u
= 0.9 u
Amount collected if all the scones and cupcakes are sold
= 7.2 u + 0.9 u
= 8.1 u
8.1 u = 81
1 u = 81 ÷ 8.1 = 10
Total number of scones
= 6 u
= 6 x 10
= 60
Answer(s): 60