During a donation drive, $2200 was collected by 50 students. Each boy donated $50 and each girl donated $40. How many boys were there?
Number of
boys |
Amount collected
by boys |
Number of
girls |
Amount collected
by girls |
Total amount
collected |
50
|
50 x 50 =
$2500 |
0 |
0
|
$2500 |
49
|
49 x 50 =
$2450 |
1 |
1 x 40 =
$40 |
$2490 |
20
|
20 x 50 =
$1000 |
30
|
30 x 40 =
$1200 |
$2200
|
Total amount collected if all the donations were made by boys
= 50 x 50
= $2500
Big difference in the total amounts made between the boys and the girls
= 2500 - 2200
= $300
Small difference in the amount made between one boy and one girl
= 50 - 40
= $10
Number of girls
= 300 ÷ 10
= 30
Number of boys
= 50 - 30
= 20
Answer(s): 20
