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Gennadij [26K]
2 years ago
13

How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a p

ound
Mathematics
2 answers:
EleoNora [17]2 years ago
7 0
It’s a 5 pounds and it’s a long thing so it’s just easy to answer it’s a
goldfiish [28.3K]2 years ago
4 0
Let's begin by assigning a letter to represent our unknown:
x = lbs. of coffee at $7 per lb.

Now let's write an equation to express the cost of mixing the $7 per lb. coffee with the $4 per lb. coffee based upon how many pounds we have of each:
(7)(x) + (4)(10) = (5)(x + 10)

Solving our equation for x:
7x + 40 = 5x + 50
7x - 5x = 50 - 40
2x = 10
x = 5 (lbs. of coffee at $7 per lb.)

We can verify our answer by plugging our answer back into our equation and checking to see that both sides balance:
(7)(x) + (4)(10) = 5(x + 10)
(7)(5) + 40 = 5(5 + 10)
35 + 40 = 25 + 50
75 = 75 (both sides balance)

Since both sides balance, we are confident that our answer is correct.
Hope this helps !
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3 years ago
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kykrilka [37]

The machines represent equivalent expressions.

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Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

\mathbf{y = y}

So, we have:

\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}

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Collect like terms

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\mathbf{y = 2 \times (5 \times 39 + 3) - 24}

\mathbf{y = 372}

Hence, the output produced by both machines is 372

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brainly.com/question/15715866

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