Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Entry Level Assessment - Multiple Choice - Page XXXIV: 4

Answer

There are 14 goats and 9 chickens.

Work Step by Step

1) g + c = 23 2) 4g + 2c = 74 --------------------------------------------- First of all lets multiply equation 1 by 2. Doing so will result in 2g + 2c = 46. Now lets subtract equation 1 from equation 2. 4g +2c = 74 -(2g +2c = 46) --------------- 2g =28 Lets divide both sides by 2. g= 14 This method is called the method of elimination. We have found the number of goats. Now to find number of chickens we just need to simply plug in 14 for g in either equation 1 or 2. 14 +c = 23 c = 23-14 c = 9
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