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Alex73 [517]
2 years ago
10

A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 6 pounds of jelly beans, the total cost is $24.

For 3 pounds of almonds and 2 pounds of jelly beans, the total cost is $10 . Find the cost for each pound of almonds and each pound of jelly beans.
Mathematics
1 answer:
Archy [21]2 years ago
5 0

Answer:

x = $1.5, y = $2.75

Step-by-step explanation:

5x + 6y = 24

3x + 2y = 10

Solve for y

2y = 10 - 3x

y = 5 - 3/2x

Plug y into first equation

5x + 6y = 24

5x + 30 - 9x = 24

-4x = -6

x = $1.5

y = $2.75

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artcher [175]

To solve for f, you need to isolate/get the variable by itself in the equation:

4(0.5f - 0.25) = 6 + f       Distribute 4 into (0.5f - 0.25)

(4)0.5f + (4)(-0.25) = 6 + f

2f - 1 = 6 + f        Subtract f on both sides to get "f" on one side of the equation

2f - f - 1 = 6 + f - f

f - 1 = 6       Add 1 on both sides to get "f" by itself

f - 1 + 1 = 6 + 1

f = 7

PROOF

4(0.5f - 0.25) = 6 + f      Substitute/plug in 7 into "f" since f = 7

4(0.5(7) - 0.25) = 6 + 7

4(3.5 - 0.25) = 13

4(3.25) = 13

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3 years ago
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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