The ratio of the number of macarons to the number of wafers in a kiosk is 3 : 1. A macaron costs $1.40 and a wafer costs $0.70. If all the macarons and wafers are sold, a sum of $49 will be collected. How many macarons are there altogether?
| |
Macarons |
Wafers |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.40 |
$0.70 |
|
| Total value |
4.2 u |
0.7 u |
$49 |
Amount collected if all the macarons are sold
= 3 u x 1.4
= 4.2 u
Amount collected if all the wafers are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the macarons and wafers are sold
= 4.2 u + 0.7 u
= 4.9 u
4.9 u = 49
1 u = 49 ÷ 4.9 = 10
Total number of macarons
= 3 u
= 3 x 10
= 30
Answer(s): 30
