## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 3 Linear Systems and Matrices - 3.2 Solve Linear Systems Algebraically - 3.2 Exercises - Problem Solving - Page 166: 61

#### Answer

$80$ pounds of peanuts and $20$ pounds of cashews are in the mix.

#### Work Step by Step

Let there be $x$ pounds of peanuts in a mix, then there are $100-x$ pounds of cashews in a mix. Then our equation is: $2.8x+5.3(100-x)=3.3\cdot100\\2.8x+530-5.3x=330\\-2.5x=-200\\x=80$ Thus there are $80$ pounds of peanuts and $20$ pounds of cashews in the mix.

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