The ratio of the number of macarons to the number of puffs in a supermarket is 4 : 1. A macaron costs $1.50 and a puff costs $0.90. If all the macarons and puffs are sold, a sum of $138 will be collected. How many macarons are there altogether?
|
Macarons |
Puffs |
Total |
Number |
4 u |
1 u |
|
Value |
$1.50 |
$0.90 |
|
Total value |
6 u |
0.9 u |
$138 |
Amount collected if all the macarons are sold
= 4 u x 1.5
= 6 u
Amount collected if all the puffs are sold
= 1 u x 0.9 u
= 0.9 u
Amount collected if all the macarons and puffs are sold
= 6 u + 0.9 u
= 6.9 u
6.9 u = 138
1 u = 138 ÷ 6.9 = 20
Total number of macarons
= 4 u
= 4 x 20
= 80
Answer(s): 80