# Algebra

Steve is making bags of mixed nuts. Almonds are \$5 per pound & Cashews are \$12 per pound. Steve charges \$56 per 7 pound bag.

1. Write a system of equations that can be used to determine how many pounds of almonds & how many pounds of cashews Steve uses.

2. Solve the system of equations to determine how many pounds of almonds & cashews Steve uses.

So for #1 I've got it started like this:

A+C = 7
5A + 12C = 56
5(7-C)+12C = 56
35-5C+12C=56

Am I on the right path? Kinda stuck now?

Thanks!

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1. A+C = 7
5A + 12C = 56
5(7-C)+12C = 56
35-5C+12C=56
7C=21
C=3 lbs, A=2lbs

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2. 👎
👤
bobpursley
2. 1.X Lbs. of almonds.
Y Lbs. of cashews.
Eq1: x + y = 7
Eq2: 5x + 12y = 56.

2. Multiply Eq1 by -5 and add the Eqs.:
-5x - 5y = -35
+5x + 12y = 56
Sum: 7y = 21
Y = 3 Lbs.
In Eq1, replace Y with 3:
x + 3 = 7
X = 4 Lbs.

1. 👍
2. 👎
3. Steve is making bags of mixed nuts. Almonds are \$5 per pound and cashews are \$12 per pound. Steve charges \$56 per 7 pound bag.

1. 👍
2. 👎

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