The ratio of the number of shortbreads to the number of macarons in a shop is 5 : 1. A shortbread costs $1.10 and a macaron costs $0.80. If all the shortbreads and macarons are sold, a sum of $189 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Macarons |
Total |
Number |
5 u |
1 u |
|
Value |
$1.10 |
$0.80 |
|
Total value |
5.5 u |
0.8 u |
$189 |
Amount collected if all the shortbreads are sold
= 5 u x 1.1
= 5.5 u
Amount collected if all the macarons are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the shortbreads and macarons are sold
= 5.5 u + 0.8 u
= 6.3 u
6.3 u = 189
1 u = 189 ÷ 6.3 = 30
Total number of shortbreads
= 5 u
= 5 x 30
= 150
Answer(s): 150