The ratio of the number of scones to the number of macarons in a kiosk is 5 : 1. A scone costs $1.50 and a macaron costs $0.60. If all the scones and macarons are sold, a sum of $162 will be collected. How many scones are there altogether?
| |
Scones |
Macarons |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.50 |
$0.60 |
|
| Total value |
7.5 u |
0.6 u |
$162 |
Amount collected if all the scones are sold
= 5 u x 1.5
= 7.5 u
Amount collected if all the macarons are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the scones and macarons are sold
= 7.5 u + 0.6 u
= 8.1 u
8.1 u = 162
1 u = 162 ÷ 8.1 = 20
Total number of scones
= 5 u
= 5 x 20
= 100
Answer(s): 100
