The ratio of the number of scones to the number of biscuits in a stall is 2 : 1. A scone costs $1.80 and a biscuit costs $0.60. If all the scones and biscuits are sold, a sum of $84 will be collected. How many scones are there altogether?
|
Scones |
Biscuits |
Total |
Number |
2 u |
1 u |
|
Value |
$1.80 |
$0.60 |
|
Total value |
3.6 u |
0.6 u |
$84 |
Amount collected if all the scones are sold
= 2 u x 1.8
= 3.6 u
Amount collected if all the biscuits are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the scones and biscuits are sold
= 3.6 u + 0.6 u
= 4.2 u
4.2 u = 84
1 u = 84 ÷ 4.2 = 20
Total number of scones
= 2 u
= 2 x 20
= 40
Answer(s): 40