During a donation drive, $3460 was collected by 80 students. Each girl donated $50 and each boy donated $30. How many girls were there?
Number of girls |
Amount collected by girls |
Number of boys |
Amount collected by boys |
Total amount collected |
80
|
80 x 50 = $4000 |
0 |
0
|
$4000 |
79
|
79 x 50 = $3950 |
1 |
1 x 30 = $30 |
$3980 |
53
|
53 x 50 = $2650 |
27
|
27 x 30 = $810 |
$3460
|
Total amount collected if all the donations were made by girls
= 80 x 50
= $4000
Big difference in the total amounts made between the girls and the boys
= 4000 - 3460
= $540
Small difference in the amount made between one girl and one boy
= 50 - 30
= $20
Number of boys
= 540 ÷ 20
= 27
Number of girls
= 80 - 27
= 53
Answer(s): 53