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ahrayia [7]
3 years ago
9

9×1+2×(1/100)+5×(1/1000)

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
(9 x 1) + (2 x (1 / 100)) + (5 x (1 / 1000)) = 9.025
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Farmer Theresa's Produce Stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. To make her product she combines Bra
masya89 [10]

Answer:

Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.

Step-by-step explanation:

Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.

We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

A+B=27.5...(1)

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.

We can represent this information in an expression as:

0.20A+0.70B

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

0.20A+0.70B=0.44(27.5)...(2)

Upon substituting equation (1) in equation (2), we will get:  

0.20(27.5-B)+0.70B=0.44(27.5)

5.50-0.20B+0.70B=12.10

5.50+0.50B=12.10

5.50-5.50+0.50B=12.10-5.50

0.50B=6.6

\frac{0.50B}{0.50}=\frac{6.6}{0.50}

B=13.2

Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.

To find amount of Brand B mixed nuts, we will substitute B=13.2 in equation (1) as:

A+13.2=27.5

A+13.2-13.2=27.5-13.2

A=14.3

Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.

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Answer:

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3 years ago
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