Untitled Document

A local high school needs to hire several cafeteria workers and bus drivers. Cafeteria workers make $12,000 per year and bus drivers make $18,000 per year. The school board gave the school permission to spend no more than $265,000 on the salaries, but must hire at least 15 people. Write a system of inequalities the school could use to determine the number of cafeteria workers and bus drivers they can hire.
Interactive popup. Assistance may be required.
Check Your Answer
c + b ≥ 15 and 12000c + 18000b ≤ 265000

Bart’s Bike Shop sells bicycles for $120 each and tricycles for $75 each. Last Saturday, the shop was very busy and Bart did not make a list of everything sold, nor did he count all the money he made. He knew that more than 100 wheels rolled out the door and that he made at least $3,000. Write a system of inequalities that Bart could use to determine the number of bicycles and tricycles he sold last Saturday.
Interactive popup. Assistance may be required.
Check Your Answer
120b + 75t ≥ 3000 and 2b + 3t > 100

John makes $9 per hour and Kevin makes $11 per hour. Last week, the difference in the total amount of money they earned was greater than $70. The total number of hours the two boys worked was less than 80. Write a system of inequalities that could be used to determine the number of hours each boy worked last week.
Interactive popup. Assistance may be required.
Check Your Answer
9j − 11k > 70 and j + k < 80

Seven more than four times x is less than twice y. Ten less than three times y is greater than x. Write a system of inequalities that can be used to find the value of x and y.
Interactive popup. Assistance may be required.
Check Your Answer
2x + 7 < 2y and 3y − 10 > x