One hundred and fifty tickets were sold for a basketball match and $560 was the total amount collected. adult tickets were sold at $4 each and child tickets were sold at $1.50 each. how many tickets and how many child tickets were sold?

adult tickets and child tickets were sold.

Step-by-step explanation:

Let represents  the number of adult tickets sold and represents the number of child tickets.

The total number of tickets sold was . So we can write the equation,

Adult tickets were sold at $ each. This means that, number of adult tickets will yield $ .

Child tickets were sold at $ each. This means that, number of adult tickets will yield $ .

The total amount collected was $ .

We can write this equation for the total amount collected.

Let us make the subject in equation (1) to get,

We put equation (3) in to equation (2) to get,

We expand the brackets to get,

We group like terms to get,

We divide both sides by to get,

This implies that,

We substitute into equation (3) to get,

Hence adult tickets and child tickets were sold.

step-by-step explanation:

mrbilldoesmath!

answer: a parabola

steps:

(x-1)(x+4)   = x(x+4) - 1(x+4) = (x^2 + 4x) - (x+4)

                = x^2 +4x -x -4   = x^2 +3x -4

which is a parabola

mrb