SOLUTION: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice Girls and boys. There are 385 surfers in Surf City. Twothirds

Question 249921: Write a system of two equations in two unknowns for each
problem. Solve each system by the method of your choice
Girls and boys. There are 385 surfers in Surf City. Twothirds
of the boys are surfers and one-twelfth of the girls
are surfers. If there are two girls for every boy, then how
many boys and how many girls are there in Surf City?
Can someone please help me solve this
Answer by ankor@dixie-net.com(15746) (Show Source):
You can put this solution on YOUR website!
Let b = no. of boys in Surf city
Let g = no. of girls
:
Write an equation for each statement:
:
There are 385 surfers in Surf City. Two-thirds of the boys are surfers and one-twelfth of the girls are surfers.
b + g = 385
Get rid of these annoying denominators, multiply by 12, results:
4(2)b + g = 12(385)
8b + g = 4620
:
If there are two girls for every boy, then how many boys and how many girls are there in Surf City?
g = 2b
:
Replace g with 2b in the 1st equation
8b + 2b = 4620
10b = 4620
b =
b = 462 boys in surf city
then
2(462) = 924 girls
;
:
See if that is true, check in the original equation
(462) + 924 =
308 + 77 = 385; confirms our solutions
;
:
How about this? did it make sense to you?