Graphing Systems of Linear Inequalities · Try It 14

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 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.
ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Could Mary purchase 100 pencils and 100 answer sheets?
ⓓ Could Mary purchase 150 pencils and 150 answer sheets?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Intermediate Algebra 2e · §4.7 Graphing Systems of Linear Inequalities · Try It 14