The ratio of the number of macarons to the number of cookies in a shop is 3 : 1. A macaron costs $1.20 and a cookie costs $0.90. If all the macarons and cookies are sold, a sum of $180 will be collected. How many macarons are there altogether?
| |
Macarons |
Cookies |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.20 |
$0.90 |
|
| Total value |
3.6 u |
0.9 u |
$180 |
Amount collected if all the macarons are sold
= 3 u x 1.2
= 3.6 u
Amount collected if all the cookies are sold
= 1 u x 0.9 u
= 0.9 u
Amount collected if all the macarons and cookies are sold
= 3.6 u + 0.9 u
= 4.5 u
4.5 u = 180
1 u = 180 ÷ 4.5 = 40
Total number of macarons
= 3 u
= 3 x 40
= 120
Answer(s): 120
