The ratio of the number of muffins to the number of scones in a shop is 3 : 1. A muffin costs $1.30 and a scone costs $0.60. If all the muffins and scones are sold, a sum of $45 will be collected. How many muffins are there altogether?
|
Muffins |
Scones |
Total |
Number |
3 u |
1 u |
|
Value |
$1.30 |
$0.60 |
|
Total value |
3.9 u |
0.6 u |
$45 |
Amount collected if all the muffins are sold
= 3 u x 1.3
= 3.9 u
Amount collected if all the scones are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the muffins and scones are sold
= 3.9 u + 0.6 u
= 4.5 u
4.5 u = 45
1 u = 45 ÷ 4.5 = 10
Total number of muffins
= 3 u
= 3 x 10
= 30
Answer(s): 30