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Question

South Wind Vineyards uses 820 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 140 more acres of Chardonnay than Riesling. How many acres of each type of grape should be planted?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 4We will use the elimination method to solve the equations. let $c$ be the total acres of Chardonnay grapes and $r$ be the total acres of Riesling grapes. Since their sum is $820$ and their Chardonnay is $140$ acres more than Riesling, then:

$\begin{aligned} c+r&=820\\ c-r&=140 \end{aligned}$

We will eliminate one variable $(c)$, solve for $r$ and then use the value of $r$ to solve for $c$

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