Chapter 5.6, Problem 5.114TI

Mary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than twice the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400.

(a) Write a system of inequalities to model this situation.

(b) Graph the system.

(c) Could Mary purchase 100 pencils and 100 answer sheets?

(d) Could Mary purchase 150 pencils and 150 answer sheets?