Question

Mrs. Smith took her family and friends to the movies. There was a total of 15 people. Child tickets cost 5$ and adult tickets cost 10$. She spent a total of 110$. How many adults went to the movies? Children?

Answer 1

Answer: children= 8, adult= 7

Step-by-step explanation:

Let the number of children be x

Let the number of adults be y

There was a total of 15 people. This can be represented as:

x + y = 15 .......... equation i

Child tickets cost 5$ and adult tickets cost 10$. She then spent a total of 110$. This can be represented as:

5x + 10y = 110 ............. equation ii

Combine both equations

x + y = 15 ........... equation i

5x + 10y = 110 .......... equation ii

Multiply equation I by 5

Multiply equation ii by 1

5(x + y = 15)

1(5x + 10y = 110)

5x + 5y = 75 .......... equation iii

5x + 10y = 110 ........ equation iv

Subtract equation iv from iii

-5y = -35

y = 35/5

y = 7

Number of adults is 7

Since x + y = 15

x = 15 - 7

x = 8

Number of children is 8