The ratio of the number of shortbreads to the number of cupcakes in a stall is 2 : 1. A shortbread costs $1.40 and a cupcake costs $0.60. If all the shortbreads and cupcakes are sold, a sum of $34 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Cupcakes |
Total |
Number |
2 u |
1 u |
|
Value |
$1.40 |
$0.60 |
|
Total value |
2.8 u |
0.6 u |
$34 |
Amount collected if all the shortbreads are sold
= 2 u x 1.4
= 2.8 u
Amount collected if all the cupcakes are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the shortbreads and cupcakes are sold
= 2.8 u + 0.6 u
= 3.4 u
3.4 u = 34
1 u = 34 ÷ 3.4 = 10
Total number of shortbreads
= 2 u
= 2 x 10
= 20
Answer(s): 20