During a donation drive, $2260 was collected by 60 pupils. Each boy donated $50 and each girl donated $30. How many boys were there?
Number of
boys |
Amount collected
by boys |
Number of
girls |
Amount collected
by girls |
Total amount
collected |
60
|
60 x 50 =
$3000 |
0 |
0
|
$3000 |
59
|
59 x 50 =
$2950 |
1 |
1 x 30 =
$30 |
$2980 |
23
|
23 x 50 =
$1150 |
37
|
37 x 30 =
$1110 |
$2260
|
Total amount collected if all the donations were made by boys
= 60 x 50
= $3000
Big difference in the total amounts made between the boys and the girls
= 3000 - 2260
= $740
Small difference in the amount made between one boy and one girl
= 50 - 30
= $20
Number of girls
= 740 ÷ 20
= 37
Number of boys
= 60 - 37
= 23
Answer(s): 23
