Algebra 1: Common Core (15th Edition)

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

Entry-Level Assessment - Multiple Choice - Page xxxviii: 4

Answer

Number of goats = 14 Number of chickens = 9

Work Step by Step

Let the number of goats be x and number of chickens be y. Thus we can say total number of animals will be, $x+y=23$ Each goat has 4 legs and chicken has 2, thus we get $4x+2y=74$ Now get have two equations and two variables. On multiplying the first by 2 and subtracting it from second we get, $(4x+2y)-2(x+y)=74-2\times23$ $4x+2y-2x-2y=28$ $2x=28$ Therefore, $x=14$ On putting it back in equation 1 we get, $y=9$ Number of goats = 14 Number of chickens = 9
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.