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Equations to solve a word problem

Pat and Carlos both belong to the same book club. The book club has two prices on its books: a flat fee for regular selections and another flat fee for specially discounted items. Pat orders two regular selections and four specially discounted one for a total of $119.80. Carlos orders three regular selections and five specially discounted ones for a total of $160.75. What are the prices of a regular selection and for a specially discounted selection?

Solution Preview

R = price of regular
D = Price of Discounted

2R + 4D = 119.80 ...

Solution Summary

This shows how to set up a system of equations to solve a word problem.