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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Exercise 133 · Algebra · Systems

Graphing Systems of Linear Inequalities · Exercise 133

Translate to a system of equations and solve.

Translate to a system of inequalities and solve.
Andi wants to spend no more than $50 on Halloween treats. She wants to buy candy bars that cost $1 each and lollipops that cost $0.50 each, and she wants the number of lollipops to be at least three times the number of candy bars.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Can she buy 20 candy bars and 70 lollipops?
ⓓ Can she buy 15 candy bars and 65 lollipops?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Exercise 133

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