SOLUTION: There are five times as many boys as girls at a party.after 124 boys left the party and another 142 girls entered the party,there was an equal number or boys and girls.how many boy

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Question 855740: There are five times as many boys as girls at a party.after 124 boys left the party and another 142 girls entered the party,there was an equal number or boys and girls.how many boys were at first?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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There are five times as many boys as girls at a party.
124 boys left the party and another 142 girls entered the party,
there was an equal number or boys and girls.
how many boys were at first?
:
Let b = original no. of boys
let g = no. of girls
:
Write an equation for each statement:
:
"There are five times as many boys as girls at a party."
b = 5g
"after 124 boys left the party and another 142 girls entered the party, was an equal number or boys and girls."
b - 124 = g + 142
b = g + 142 + 124
b = g + 266
Replace b with 5g
5g = g + 266
5g - g = 266
4g = 266
g = 66.5 girls, not likely, but that's what the numbers give us
then
5(66.5) = 332.5 boys also unlikely