The ratio of the number of muffins to the number of cupcakes in a stall is 2 : 1. A muffin costs $1.10 and a cupcake costs $0.50. If all the muffins and cupcakes are sold, a sum of $27 will be collected. How many muffins are there altogether?
| |
Muffins |
Cupcakes |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.10 |
$0.50 |
|
| Total value |
2.2 u |
0.5 u |
$27 |
Amount collected if all the muffins are sold
= 2 u x 1.1
= 2.2 u
Amount collected if all the cupcakes are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the muffins and cupcakes are sold
= 2.2 u + 0.5 u
= 2.7 u
2.7 u = 27
1 u = 27 ÷ 2.7 = 10
Total number of muffins
= 2 u
= 2 x 10
= 20
Answer(s): 20
