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

Algebra.Com
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.


Answer by MathTherapy(10551)   (Show Source): 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  

RELATED QUESTIONS


There are 44 students in a canteen. If there are 28 more girls than boys, how many boys... (answered by nerdybill)

Please help me solve this word problem using Combinations:

A quiz team of 5 children... (answered by Theo)

In a class of 18 students, there are 1/2 as many girls as boys.  How many girls? How many  (answered by rfer)

Write a system of equations to solve this problem: The ratio of boys to girls in a school  (answered by Fombitz)

There are as many boys as girls in a class. If 2/5 of the boys and 1/2 of the girls go to  (answered by Fombitz)

2/5 of the children in the club are girls. if there are 24 boys, how many children are... (answered by MathLover1)

In a class 18 children are girls and 25% of the class are boys. How many children are... (answered by JoelSchwartz)

If jo's class has 24 kids in it and the ratio of girls to boys is 3:1, how many more... (answered by rfer)

There are 900 students in a school, the ratio of girls to boys is 5:4 how many boys and... (answered by Alan3354)