The ratio of the number of macarons to the number of cupcakes in a kiosk is 2 : 1. A macaron costs $1.80 and a cupcake costs $0.80. If all the macarons and cupcakes are sold, a sum of $44 will be collected. How many macarons are there altogether?
|
Macarons |
Cupcakes |
Total |
Number |
2 u |
1 u |
|
Value |
$1.80 |
$0.80 |
|
Total value |
3.6 u |
0.8 u |
$44 |
Amount collected if all the macarons are sold
= 2 u x 1.8
= 3.6 u
Amount collected if all the cupcakes are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the macarons and cupcakes are sold
= 3.6 u + 0.8 u
= 4.4 u
4.4 u = 44
1 u = 44 ÷ 4.4 = 10
Total number of macarons
= 2 u
= 2 x 10
= 20
Answer(s): 20