At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show me the steps.
A.48 B.40 c.56 D.32 E. None of these

Question

At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show me the steps.
A.48 B.40 c.56 D.32 E. None of these

blockcolder · Answer

Say there are 5x boys. Then there are 3x girls at the beginning.
If after 10 boys left, there were an equal number of boys and girls, we have
$$5x-10=3x\
5x-3x=10\
2x=10\
x=5$$
So that there are 5(5)=25 boys in the beginning.