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m4l15 writing systems of equations an order of cashews and peanuts weig…

Question

m4l15 writing systems of equations an order of cashews and peanuts weighs 11 pounds and costs $31. cashews: $3.00 per pound peanuts: $2.50 per pound how many pounds of cashews and peanuts are in this order? finally, subtract p from both sides of the equation to rewrite this equation in terms of c. \

$$\begin{cases} 3c + 2.5p = 31 \\\\ c + p = 11 \\end{cases}$$

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$$\begin{align*} c + p &= 11 \\\\ - p & - p \\\\ \\square &= 11 - p \\end{align*}$$

Explanation:

Step1: Isolate c in weight equation

Start with $c + p = 11$. Subtract $p$ from both sides:
$c + p - p = 11 - p$

Step2: Simplify the left side

Cancel $p$ and $-p$:
$c = 11 - p$

Answer:

$c$