The ratio of the number of shortbreads to the number of macarons in a stall is 6 : 1. A shortbread costs $1.90 and a macaron costs $0.30. If all the shortbreads and macarons are sold, a sum of $117 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Macarons |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.90 |
$0.30 |
|
| Total value |
11.4 u |
0.3 u |
$117 |
Amount collected if all the shortbreads are sold
= 6 u x 1.9
= 11.4 u
Amount collected if all the macarons are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the shortbreads and macarons are sold
= 11.4 u + 0.3 u
= 11.7 u
11.7 u = 117
1 u = 117 ÷ 11.7 = 10
Total number of shortbreads
= 6 u
= 6 x 10
= 60
Answer(s): 60
