Victoria had 714 pencils. She planned to give every girl 6 pencils each while every boy would be given 4 pencils each. The ratio of the number of boys to girls was 3 : 5. How many more girls than boys were there?
| |
Girls |
Boys |
Difference |
| Number |
5 u |
3 u |
2 u |
| Value |
6 |
4 |
|
| Total value |
30 u |
12 u |
|
Number of pencils that the girls received
= 5 u x 6
= 30 u
Number of pencils that the boys received
= 3 u x 4
= 12 u
Total number of pencils
= 30 u + 12 u
= 42 u
42 u = 714
1 u = 714 ÷ 42 = 17
Number of more girls than boys
= 5 u - 3 u
= 2 u
= 2 x 17
= 34
Answer(s): 34
