The ratio of the number of cupcakes to the number of biscuits in a stall is 3 : 1. A cupcake costs $1.50 and a biscuit costs $0.50. If all the cupcakes and biscuits are sold, a sum of $100 will be collected. How many cupcakes are there altogether?
|
Cupcakes |
Biscuits |
Total |
Number |
3 u |
1 u |
|
Value |
$1.50 |
$0.50 |
|
Total value |
4.5 u |
0.5 u |
$100 |
Amount collected if all the cupcakes are sold
= 3 u x 1.5
= 4.5 u
Amount collected if all the biscuits are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the cupcakes and biscuits are sold
= 4.5 u + 0.5 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Total number of cupcakes
= 3 u
= 3 x 20
= 60
Answer(s): 60