The ratio of the number of muffins to the number of macarons in a shop is 3 : 1. A muffin costs $1.70 and a macaron costs $0.40. If all the muffins and macarons are sold, a sum of $220 will be collected. How many muffins are there altogether?
| |
Muffins |
Macarons |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.70 |
$0.40 |
|
| Total value |
5.1 u |
0.4 u |
$220 |
Amount collected if all the muffins are sold
= 3 u x 1.7
= 5.1 u
Amount collected if all the macarons are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the muffins and macarons are sold
= 5.1 u + 0.4 u
= 5.5 u
5.5 u = 220
1 u = 220 ÷ 5.5 = 40
Total number of muffins
= 3 u
= 3 x 40
= 120
Answer(s): 120
