Use a system of linear equations with two variables and two equations to solve. A concert manager counted 575 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $15.00. The register confirms that $8,312.50 was taken in. How many student tickets and adult tickets were sold?
student
tickets
adult
tickets

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!