The ratio of the number of shortbreads to the number of macarons in a shop is 6 : 1. A shortbread costs $1.40 and a macaron costs $0.60. If all the shortbreads and macarons are sold, a sum of $90 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Macarons |
Total |
Number |
6 u |
1 u |
|
Value |
$1.40 |
$0.60 |
|
Total value |
8.4 u |
0.6 u |
$90 |
Amount collected if all the shortbreads are sold
= 6 u x 1.4
= 8.4 u
Amount collected if all the macarons are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the shortbreads and macarons are sold
= 8.4 u + 0.6 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Total number of shortbreads
= 6 u
= 6 x 10
= 60
Answer(s): 60