The ratio of the number of macarons to the number of muffins in a shop is 6 : 1. A macaron costs $1.20 and a muffin costs $0.30. If all the macarons and muffins are sold, a sum of $150 will be collected. How many macarons are there altogether?
|
Macarons |
Muffins |
Total |
Number |
6 u |
1 u |
|
Value |
$1.20 |
$0.30 |
|
Total value |
7.2 u |
0.3 u |
$150 |
Amount collected if all the macarons are sold
= 6 u x 1.2
= 7.2 u
Amount collected if all the muffins are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the macarons and muffins are sold
= 7.2 u + 0.3 u
= 7.5 u
7.5 u = 150
1 u = 150 ÷ 7.5 = 20
Total number of macarons
= 6 u
= 6 x 20
= 120
Answer(s): 120