Question 1000880
b = number of boys.
p = number of girls.


(b-14)/p = 3/10


multiply both sides of this equation by p to get:


b-14 = 3/10 * p


add 14 to both sides of this equation to get:


b = 3/10 * p + 14


that's your solution.


to confirm the solution is correct, pick any value for p and then xolve for b.


assume p = 10.


b = 3/10 * p + 14 which becomes:
b = 3/10 * 10 + 14 which becomes:
b = 3 + 14 which becomes:
b = 17.


the number of boys before 14 left was 17.
the number of boys after 14 left was 3
the number of girls is 10.
the ratio of boys to girls after 14 boys left is 3/10.


checks out ok.


the equation is b = 3/10 * p + 14


your solution is:


the expression for the number of boys at the beginning of the concert in terms of p is 3/10 * p + 14


this is a bit of semantics but there is a difference between an equation and an expression.


an equation indicates equality between expressions.


an expression is just one side of an equation.