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Alinara [238K]
3 years ago
7

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 75% syrup?

Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

He needs 3.75 lbs of sugar and 1.25 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 75%

Write a proportion:

\dfrac{5}{x}=\dfrac{100}{75}

Cross multiply:

100x=5\cdot 75\\ \\100x=375\\ \\x=\dfrac{375}{100}=3.75

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

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Answer:

Combine multiplied terms into a single fraction

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2

Multiply by 1

3

Combine multiplied terms into a single fraction

4

Distribute

5

Multiply all terms by the same value to eliminate fraction denominators

6

Cancel multiplied terms that are in the denominator

7

Distribute

8

Subtract

16

161616

from both sides of the equation

9

Simplify

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Simplify

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Divide both sides of the equation by the same term

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Solution

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Step-by-step explanation:

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