Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises: 34

Answer

12 quarters and 7 dimes.

Work Step by Step

x=numbers of dimes, y=number of quarters. The total value of dimes and quarters is 370, so 10x+25y=370. The number of quarters is 5 coins more than dimes so y=x+5 Equations: 10x+25y=370, y=x+5. Use substitution to solve: 10x+25(x+5)=370 10x+25x+125=370 35x+125=370 35x=245 x=7 So the number of dimes is 7. y=x+5 y=7+5 y=12 So the number of quarters is 12 Check your work: 10(7)+25(12)=370 70+300=370 370=370 So the solutions are right, and there are 7 dimes and 12 quarters.
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