SOLUTION: there is a group of boys and girl waiting for the school buses .
15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4.
12 boys get on the next bus.the
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: there is a group of boys and girl waiting for the school buses .
15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4.
12 boys get on the next bus.the
Log On
Question 874503: there is a group of boys and girl waiting for the school buses .
15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4.
12 boys get on the next bus.the ratio of boys to girls at the stop is now 1:1
How many students where there at the stop to start with. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! there is a group of boys and girl waiting for the school buses.
Let g = no. of girls originally
Let b = no. of boys
:
Write an equation for each statement
:
"15 girls get on the first bus.The ratio of boys to girls at the stop is now 7:4." = at the stop
:
"12 boys get on the next bus.the ratio of boys to girls at the stop is now 1:1"
b - 12 = g - 15, boys equal girls now
b = g - 15 + 12
b = (g - 3)
:
Using the first equation, replace b with (g-3) =
cross multiply
7(g-15) = 4(g-3)
7g - 105 = 4g - 12
7g - 4g = -12 + 105
3g = 93
g = 93/3
g = 31 girls originally
then we know
b = g - 3
b = 28 boys
:
How many students were there at the stop to start with?
31 + 28 = 59 students
:
