Question

A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adult tickets sold and let c represent the number of child tickets sold. Which system of equations can be used to determine the numbers of tickets sold?

Answer 1

To determine the number of adult and child tickets sold, set up a system of equations based on the given information.

Step-by-step explanation:

To determine the number of adult and child tickets sold, we can set up a system of equations based on the given information:

a + c = 95 --> the total number of tickets sold is 95.

15a + 7c = 1025 --> the total revenue from adult tickets ($15 each) and child tickets ($7 each) is $1025.

Answer 2

a + c = 95........eq1

15a + 7c = 1,025....eq2

Step-by-step explanation:

Given:

Total number of ticket sold = 95

Total amount collected = $1,025

Price of each adult ticket = $15

Price of each child ticket = $7

Computation:

Number of adult tickets sold = a

Number of child tickets sold = c

So,

Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold

a + c = 95........eq1

and

15a + 7c = 1,025....eq2