The ratio of the number of cupcakes to the number of muffins in a shop is 5 : 1. A cupcake costs $1.80 and a muffin costs $0.60. If all the cupcakes and muffins are sold, a sum of $384 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Muffins |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.80 |
$0.60 |
|
| Total value |
9 u |
0.6 u |
$384 |
Amount collected if all the cupcakes are sold
= 5 u x 1.8
= 9 u
Amount collected if all the muffins are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the cupcakes and muffins are sold
= 9 u + 0.6 u
= 9.6 u
9.6 u = 384
1 u = 384 ÷ 9.6 = 40
Total number of cupcakes
= 5 u
= 5 x 40
= 200
Answer(s): 200
