The ratio of the number of biscuits to the number of tarts in a shop is 5 : 1. A biscuit costs $1.50 and a tart costs $0.70. If all the biscuits and tarts are sold, a sum of $82 will be collected. How many biscuits are there altogether?
| |
Biscuits |
Tarts |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.50 |
$0.70 |
|
| Total value |
7.5 u |
0.7 u |
$82 |
Amount collected if all the biscuits are sold
= 5 u x 1.5
= 7.5 u
Amount collected if all the tarts are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the biscuits and tarts are sold
= 7.5 u + 0.7 u
= 8.2 u
8.2 u = 82
1 u = 82 ÷ 8.2 = 10
Total number of biscuits
= 5 u
= 5 x 10
= 50
Answer(s): 50
