The ratio of the number of macarons to the number of muffins in a shop is 5 : 1. A macaron costs $1.80 and a muffin costs $0.50. If all the macarons and muffins are sold, a sum of $380 will be collected. How many macarons are there altogether?
| |
Macarons |
Muffins |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.80 |
$0.50 |
|
| Total value |
9 u |
0.5 u |
$380 |
Amount collected if all the macarons are sold
= 5 u x 1.8
= 9 u
Amount collected if all the muffins are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the macarons and muffins are sold
= 9 u + 0.5 u
= 9.5 u
9.5 u = 380
1 u = 380 ÷ 9.5 = 40
Total number of macarons
= 5 u
= 5 x 40
= 200
Answer(s): 200
