Algebra 1

by Hall, Prentice

Published by Prentice Hall

ISBN 10: 0133500403

ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - Mid-Chapter Quiz - Page 389: 14

Answer

She must plant 85 acres of pumpkins and 335 acres of corn

Work Step by Step

Let p=acres of pumpkin and c=acres of corn Based on the problem, we have equations: p+c=420 c=p+250 Substitute value of c into the first equation: p+(p+250)=420 Simplify, 2p+250=420 Subtract 250 from both sides: 2p=170 Divide 2 from both sides: p=85 Plug in p to find c: 85+c=420 => c=335

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