The ratio of the number of scones to the number of cupcakes in a shop is 6 : 1. A scone costs $1.50 and a cupcake costs $0.60. If all the scones and cupcakes are sold, a sum of $384 will be collected. How many scones are there altogether?
|
Scones |
Cupcakes |
Total |
Number |
6 u |
1 u |
|
Value |
$1.50 |
$0.60 |
|
Total value |
9 u |
0.6 u |
$384 |
Amount collected if all the scones are sold
= 6 u x 1.5
= 9 u
Amount collected if all the cupcakes are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the scones and cupcakes are sold
= 9 u + 0.6 u
= 9.6 u
9.6 u = 384
1 u = 384 ÷ 9.6 = 40
Total number of scones
= 6 u
= 6 x 40
= 240
Answer(s): 240