SOLUTION: Hello
How do I go about solving this problem?
There are 42 children in a canteen. 2/5 of the boys and 1/2 of the girls like to eat fried chicken wings. There are 19 children wh
Question 1160642: Hello
How do I go about solving this problem?
There are 42 children in a canteen. 2/5 of the boys and 1/2 of the girls like to eat fried chicken wings. There are 19 children who like to eat fried chicken wings. Find the number of boys in the canteen.
Thanks in advance. Found 2 solutions by Theo, MathTherapy:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! let b = the number of boys
let g = the number of girls.
you get:
b + g = 42
2/5 * b + 1/2 * g = 19
multiply both sides of the second equation by 2 and leave the first equation as is to get:
b + g = 42
4/5 * b + g = 38
subtract the second equation from the first to get:
b - 4/5 * b = 4
multiply both sides of this equation by 5 to get:
5b - 4b = 20
combine like terms to get:
b = 20
since b + g = 42, then g must be equal to 22.
you have:
b = 20
g = 22
b + g = 42
2/5 * b + 1/2 * g = 2/5 * 20 + 1/2 * 22 = 8 + 11 = 19
solution is the number of boys in the canteen is 20 and the number of girls in the canteen is 22.
You can put this solution on YOUR website!
Hello
How do I go about solving this problem?
There are 42 children in a canteen. 2/5 of the boys and 1/2 of the girls like to eat fried chicken wings. There are 19 children who like to eat fried chicken wings. Find the number of boys in the canteen.
Thanks in advance.
Let number of boys in canteen, be B
Then number of girls in canteen is: 42 - B
Number of boys who eat FCW:
Number of girls who eat FCW:
Since 19 of the boys and girls in the canteen eat FCW, then we get:
2(2B) + 5(42 - B) = 10(19) ------ Multiplying by LCD, 10
4B + 210 - 5B = 190
4B - 5B = 190 - 210
- B = - 20
Number of boys in canteen, or
