The ratio of the number of biscuits to the number of scones in a stall is 2 : 1. A biscuit costs $1.70 and a scone costs $0.80. If all the biscuits and scones are sold, a sum of $126 will be collected. How many biscuits are there altogether?
|
Biscuits |
Scones |
Total |
Number |
2 u |
1 u |
|
Value |
$1.70 |
$0.80 |
|
Total value |
3.4 u |
0.8 u |
$126 |
Amount collected if all the biscuits are sold
= 2 u x 1.7
= 3.4 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
= 3.4 u + 0.8 u
= 4.2 u
4.2 u = 126
1 u = 126 ÷ 4.2 = 30
Total number of biscuits
= 2 u
= 2 x 30
= 60
Answer(s): 60