Elyse was given 546 pencils. She planned to give every boy 6 pencils each while every girl would be given 4 pencils each. The ratio of the number of girls to boys was 3 : 5. How many more boys than girls were there?
| |
Boys |
Girls |
Difference |
| Number |
5 u |
3 u |
2 u |
| Value |
6 |
4 |
|
| Total value |
30 u |
12 u |
|
Number of pencils that the boys received
= 5 u x 6
= 30 u
Number of pencils that the girls received
= 3 u x 4
= 12 u
Total number of pencils
= 30 u + 12 u
= 42 u
42 u = 546
1 u = 546 ÷ 42 = 13
Number of more boys than girls
= 5 u - 3 u
= 2 u
= 2 x 13
= 26
Answer(s): 26
