The ratio of the number of cookies to the number of macarons in a shop is 3 : 1. A cookie costs $1.50 and a macaron costs $0.80. If all the cookies and macarons are sold, a sum of $159 will be collected. How many cookies are there altogether?
|
Cookies |
Macarons |
Total |
Number |
3 u |
1 u |
|
Value |
$1.50 |
$0.80 |
|
Total value |
4.5 u |
0.8 u |
$159 |
Amount collected if all the cookies are sold
= 3 u x 1.5
= 4.5 u
Amount collected if all the macarons are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the cookies and macarons are sold
= 4.5 u + 0.8 u
= 5.3 u
5.3 u = 159
1 u = 159 ÷ 5.3 = 30
Total number of cookies
= 3 u
= 3 x 30
= 90
Answer(s): 90