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 --------------------------------------------- 1) Isolate the variable C: c=23-g 2) Plug 23-g into the second equation: 4g+2(23-g)=74 3) Distribute the 2 into the parenthesis: 4g+46-2g=74 4) Combine like terms: 2g+46=74 5) Move the constant to the other side of the equation: 2g=28 6) Divide both sides by 2: g=14 7) Plug the number of goats into the second equation to get the number of chickens: 4(14)+2c=74 8) Solve for c. 56+2c=74 2c=18 c=9
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