The ratio of the number of shortbreads to the number of biscuits in a kiosk is 4 : 1. A shortbread costs $1.10 and a biscuit costs $0.70. If all the shortbreads and biscuits are sold, a sum of $51 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Biscuits |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.10 |
$0.70 |
|
| Total value |
4.4 u |
0.7 u |
$51 |
Amount collected if all the shortbreads are sold
= 4 u x 1.1
= 4.4 u
Amount collected if all the biscuits are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the shortbreads and biscuits are sold
= 4.4 u + 0.7 u
= 5.1 u
5.1 u = 51
1 u = 51 ÷ 5.1 = 10
Total number of shortbreads
= 4 u
= 4 x 10
= 40
Answer(s): 40
