The ratio of the number of biscuits to the number of shortbreads in a shop is 2 : 1. A biscuit costs $1.20 and a shortbread costs $0.50. If all the biscuits and shortbreads are sold, a sum of $87 will be collected. How many biscuits are there altogether?
| |
Biscuits |
Shortbreads |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.20 |
$0.50 |
|
| Total value |
2.4 u |
0.5 u |
$87 |
Amount collected if all the biscuits are sold
= 2 u x 1.2
= 2.4 u
Amount collected if all the shortbreads are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the biscuits and shortbreads are sold
= 2.4 u + 0.5 u
= 2.9 u
2.9 u = 87
1 u = 87 ÷ 2.9 = 30
Total number of biscuits
= 2 u
= 2 x 30
= 60
Answer(s): 60
