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

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2