Unit 4, Lesson 6
Solving Problems with Inequalities in Two Variables
Algebra 1
Practice
Problem 1
This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected \$143.85.
Using \(d\) to represent the number of dimes collected and \(q\) to represent the number of quarters, which statement best represents this situation?
\(0.25d + 0.1q \geq 143.85\)
\(0.25q + 0.1d \geq 143.85\)
\(0.25d + 0.1q > 143.85\)
\(0.25q + 0.1d > 143.85\)
Problem 2
A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs \$200 per acre and planting wheat costs \$500 per acre. He wants to spend no more than \$100,000 planting soybeans and wheat.
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Write an inequality to describe the constraints. Specify what each variable represents.
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Name one solution to the inequality and explain what it represents in that situation.