Question

child admission is $5.90 and adult admission is $9.10 . 175 tickets were sold for a total sales of $1282.10 . How many child tickets were sold that day?

Answer 1

Child tickets sold: 97

Explanation:

Step 1: Write out system of equations

5.90x + 9.10y = 1282.10

x + y = 175

Step 2: Rewrite 2nd equation

y = 175 - x

Step 3: Substitution

5.90x + 9.10(175 - x) = 1282.10

Step 4: Distribute

5.90x + 1592.5 - 9.10x = 1282.10

Step 5: Combine like terms

-3.2x + 1592.5 = 1282.10

Step 6: Isolate x

-3.2x = -310.4

x = 97

And we have our final answer!