The ratio of the number of macarons to the number of puffs in a stall is 2 : 1. A macaron costs $1.30 and a puff costs $0.40. If all the macarons and puffs are sold, a sum of $30 will be collected. How many macarons are there altogether?
| |
Macarons |
Puffs |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.30 |
$0.40 |
|
| Total value |
2.6 u |
0.4 u |
$30 |
Amount collected if all the macarons are sold
= 2 u x 1.3
= 2.6 u
Amount collected if all the puffs are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the macarons and puffs are sold
= 2.6 u + 0.4 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of macarons
= 2 u
= 2 x 10
= 20
Answer(s): 20
