Question

Question #d2fd5

Answer 1

$5

Explanation:

To set up an expression we identify the known amounts and the unknown amounts. We try to find the relationship between these things, which is the equation. In this case the “base” is the Children’s ticket price. Related to that is the adult ticket price. Together they will add up to the total sales..

If “A” is an adult ticket price, and “C” is a children's ticket price, we can write A = C + 3.

The amount of revenue from each type of ticket is just the number of those tickets sold times the price. Adding the two different revenue amounts gives us the total, so equating our number of tickets sold and the equation relating them to the given total revenue, we will be able to solve for the individual prices.

200 * A + 100 * C = 2100 ; 200 * (C+3) + 100 * C = 2100

200 * C + 600 + 100 * C = 2100 ; 300 * C = 1500
C = 1500/300 = 5

A = C + 3 ; A = 5 + 3 = 8

CHECK:
200(8) + 100(5) = 2100 ; 1600 + 500 = 2100 ; 2100 = 2100 CORRECT!