Manuel takes a job translating English instruction manuals to Spanish. He will receive $15

per page plus $100 per month. Manuel would like to work for 3 months during the summer and make at

least $1500. Write and solve an inequality to find the minimum number of pages Manuel must translate

in order to reach his goal.

15x+100 (3) ≥ $1500

x ≥ 80 pages

Step-by-step explanation:

Let x represent the number of pages.

Manuel receives $15 per page = 15x

Plus $100 per month. Manuel would like to work for 3 months = 15x+100 (3)

He wants to make at least $1500 during the summer

Thus the inequality we get is:

15x+100 (3) ≥ $1500

Now solve the equation to find minimum number of pages:

15x+300 ≥ $1500

Combine the like terms:

15x ≥ 1500-300

15x ≥ $1200

Divide both sides by 15

15x ≥ $1200/15

x ≥ 80 pages