The ratio of the number of scones to the number of biscuits in a kiosk is 4 : 1. A scone costs $1.30 and a biscuit costs $0.30. If all the scones and biscuits are sold, a sum of $55 will be collected. How many scones are there altogether?
|
Scones |
Biscuits |
Total |
Number |
4 u |
1 u |
|
Value |
$1.30 |
$0.30 |
|
Total value |
5.2 u |
0.3 u |
$55 |
Amount collected if all the scones are sold
= 4 u x 1.3
= 5.2 u
Amount collected if all the biscuits are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the scones and biscuits are sold
= 5.2 u + 0.3 u
= 5.5 u
5.5 u = 55
1 u = 55 ÷ 5.5 = 10
Total number of scones
= 4 u
= 4 x 10
= 40
Answer(s): 40