3. To pay back a loan, Lauren makes 7 payments, each in the same amount. Her cousin Hilary made 5 payments, each in the same amount. Each of Hilary’s payments was $15 more than each payment Lauren made. Both cousins paid the same amount in the end. How much did each cousin pay each time? (a) Write an equation. Let x represent the amount of one of Lauren’s payments.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.