The ratio of the number of cupcakes to the number of wafers in a kiosk is 6 : 1. A cupcake costs $1.50 and a wafer costs $0.80. If all the cupcakes and wafers are sold, a sum of $98 will be collected. How many cupcakes are there altogether?
|
Cupcakes |
Wafers |
Total |
Number |
6 u |
1 u |
|
Value |
$1.50 |
$0.80 |
|
Total value |
9 u |
0.8 u |
$98 |
Amount collected if all the cupcakes are sold
= 6 u x 1.5
= 9 u
Amount collected if all the wafers are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the cupcakes and wafers are sold
= 9 u + 0.8 u
= 9.8 u
9.8 u = 98
1 u = 98 ÷ 9.8 = 10
Total number of cupcakes
= 6 u
= 6 x 10
= 60
Answer(s): 60