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Basile [38]
3 years ago
12

If 1800ml of a juice drink is 15% grape juice, how much grape juice should be added to make a drink that is 20% grape juice?

Mathematics
1 answer:
Svetach [21]3 years ago
7 0

Answer:

  112.5 mL

Step-by-step explanation:

Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...

  0.15(1800) +x = 0.20(1800+x)

  270 +x = 360 + 0.2x . . . . . . eliminate parentheses

  0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x

  x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x

112 mL of grape juice should be added to make a mix that is 20% grape juice.

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Studentka2010 [4]

Answer:

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Step-by-step explanation:

You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.

x - 2/5 = 1/5                        Add 2/5 to both sides

x - 2/5 + 2/5 = 1/5 + 2/5     The left side cancels to 0.

x = 1/5 + 2/5                       The denominators (bottom the fraction) are the same. Just add the tops.

x = (1 + 2)/5

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=======================

If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5

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By the same method, 1/5 = 0.2

Substitute into the original equation

x - 0.4 = 0.2                       Add 0.4 to both sides

x - 0.4 +0.4 = 0.2 + 0.4    The left side reduces just to x

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If you let your calculator do the work, like this

3

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The answers are the same.

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Answer:

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Step-by-step explanation:

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Answer:

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