Question

a school musical soild 353 tickets. $5 for adults and $3.50 for students. the school made $1500 how many adult tickets were sold how many student tickets​

Answer 1

177 Students

176 Adults

Explanation:

Adult - (A) $5

Student - (S) $3.50

Equation 1: A+S = 353 tickets

Equation 2: 5A + 3.50S = $1500

Sub equation 1 into 2:

5A + 3.50(353 - A) = 1500

Multiply: 5A + 1235.50 -3.50A =1500

Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:

264.50/1.50 = 176 Adults

Sub into equation 1:

176 +S = 353

Solve: 353 - 176 = 177 Students

Check: 5(176) + 3.50(177) = $1500

1499.5 rounded = 1500 = 1500 ✔

I hope this helped!