Algebra 1

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

Entry Level Assessment - Multiple Choice: 4

Answer

There are 14 goats and 9 chickens.

Work Step by Step

1) g + c = 23 2) 4g + 2c = 74 --------------------------------------------- First of all we make c the subject of both equation 1) and 2) . "g + c = 23" can be rearranged into "c = 23 - g". This is done by changing +g into -g on the other side of the equal sign. "4g + 2c = 74" can be rearranged into "c = 37 - 2g". The following steps show how this is rearranged: 1) 4g + 2c = 74 2) 2c = 74 - 4g 3) c = 37 - 2g We can now solve this simultaneously by making both the equations equal to each other: c = 23 - g c = 37 - 2g 23 - g = 37 - 2g 23 = 37 - 2g + g 23 = 37 - g 23 - 37 = -g -14 = -g g = 14 So there are 14 goats. To find the value of c, we can substitute g = 14 into the equation, "g + c = 23": g + c = 23 14 + c =23 c = 23-14 c = 9 So there are 9 chickens.
Small 1498489798
This answer is currently locked

Someone from the community is currently working feverishly to complete this textbook answer. Don’t worry, it shouldn’t be long.