Question

At the movie theater, childs admission is $6.10. Adult admission is $9.40. On Tuesday four times as many adult tickets as child tickets were sold. For a total of $1179.90. How many child tickets were sold that day?

Answer 1

The number of children's tickets sold was 27

Explanation:

Let

x ----> the number of children's tickets sold

y ----> the number of adult's tickets sold

we know that

`6.10x+9.40y=1,179.90` ----> equation A

`y=4x` ----> equation B

Solve the system by substitution

Substitute equation B in equation A

`6.10x+9.40(4x)=1,179.90`

solve for x

`6.10x+37.6x=1,179.90`

`43.7x=1,179.90`

`x=27`

therefore

The number of children's tickets sold was 27