SOLUTION: There are 72 members of the show choir. There are 6 more boys than girls in the choir. How many girls and boys are in the choir?

Algebra.Com
Question 1013310: There are 72 members of the show choir. There are 6 more boys than girls in the choir. How many girls and boys are in the choir?
Found 2 solutions by fractalier, ankor@dixie-net.com:
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
We can write
b + g = 72 and
b = g + 6
Substitute the second into the first and get
g + 6 + g = 72
2g + 6 = 72
2g = 66
g = 33 girls
b = 39 boys

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
b = no. of boys
g = no. of girls
:
There are 72 members of the show choir.
b + g = 72
:
There are 6 more boys than girls in the choir.
b = g+6
:
How many girls and boys are in the choir?
replace b with (g+6) in the 1st equation
(g+6) + g = 72
subtract 6 from both sides
2g = 72 - 6
g = 66/2
g = 33 girls
:
:
To confirm our answer, find the no. of boys
b = 33 + 6
b = 39 boys
then
39 + 33 = 72

RELATED QUESTIONS

there are 18 girls in the school choir the ratio of girls to boys is 1 to 2 how many boys (answered by ikleyn,math_tutor2020)
There are 18 girls in a school Choir. The ratio of girls to boys is 1 to 2. How many boys (answered by ikleyn)
There are 10% more boys than girls in a choir. If there are 4 more boys than girls, how... (answered by ankor@dixie-net.com)
There are 72 members of the choir. There are 6 more boys than girls in the choir. a.... (answered by ankor@dixie-net.com)
If there 5/8 of girls in a choir plus 12 more boys, how many kids are... (answered by ankor@dixie-net.com)
In a school choir, the ratio of boys to girls is 3 : 5. If there are a total of 24... (answered by Tutorteddy.Com)
There are 158 members in the soccer program. There are 16 more boys than girls. How many... (answered by ewatrrr)
there are 3 more girls than boys in tom's clas, and the sum of girls and the boys is 41.... (answered by shweta)
There are three boys for every five girls in the choir. Which of the following numbers is (answered by richwmiller,stanbon)