Question

(05.06)

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike
requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and
100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best
explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points)

Answer 1

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Explanation:

4c + 6a < = 120 ...4(20) + 6(6) = 116 ← correct

4c + 4a < = 100....4(20) + 4(6) = 104 ←incorrect

Hope this helpsʕ•ᴥ•ʔ