The ratio of the number of shortbreads to the number of scones in a shop is 6 : 1. A shortbread costs $1.40 and a scone costs $0.80. If all the shortbreads and scones are sold, a sum of $92 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Scones |
Total |
Number |
6 u |
1 u |
|
Value |
$1.40 |
$0.80 |
|
Total value |
8.4 u |
0.8 u |
$92 |
Amount collected if all the shortbreads are sold
= 6 u x 1.4
= 8.4 u
Amount collected if all the scones are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the shortbreads and scones are sold
= 8.4 u + 0.8 u
= 9.2 u
9.2 u = 92
1 u = 92 ÷ 9.2 = 10
Total number of shortbreads
= 6 u
= 6 x 10
= 60
Answer(s): 60