The ratio of the number of biscuits to the number of scones in a shop is 2 : 1. A biscuit costs $1.50 and a scone costs $0.80. If all the biscuits and scones are sold, a sum of $76 will be collected. How many biscuits are there altogether?
| |
Biscuits |
Scones |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.50 |
$0.80 |
|
| Total value |
3 u |
0.8 u |
$76 |
Amount collected if all the biscuits are sold
= 2 u x 1.5
= 3 u
Amount collected if all the scones are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the biscuits and scones are sold
= 3 u + 0.8 u
= 3.8 u
3.8 u = 76
1 u = 76 ÷ 3.8 = 20
Total number of biscuits
= 2 u
= 2 x 20
= 40
Answer(s): 40
