The ratio of the number of macarons to the number of scones in a kiosk is 3 : 1. A macaron costs $1.70 and a scone costs $0.40. If all the macarons and scones are sold, a sum of $165 will be collected. How many macarons are there altogether?
| |
Macarons |
Scones |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.70 |
$0.40 |
|
| Total value |
5.1 u |
0.4 u |
$165 |
Amount collected if all the macarons are sold
= 3 u x 1.7
= 5.1 u
Amount collected if all the scones are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the macarons and scones are sold
= 5.1 u + 0.4 u
= 5.5 u
5.5 u = 165
1 u = 165 ÷ 5.5 = 30
Total number of macarons
= 3 u
= 3 x 30
= 90
Answer(s): 90
