# math

Farah made a drink for a party by mixing syrup and water in the ratio 1 : 8. If she made 4.5L of drink, how much syrup did she use?

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1. A drink has 1 part of syrup and 8 parts of water, total 9 parts.

This means a drink has 1 / 9 parts of syrup and 8 / 9 parts of water.

She uses:

1 / 9 ∙ 4.5 = 4.5 / 9 = 0.5 L of syrup

Proof:

She uses:

8 / 9 ∙ 4.5 = 36 / 9 = 4 L of water.

0.5 L of syrup / 4 L of water = 0.5 / 4 = 1 / 8

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posted by Bosnian
2. amount of syrup ---- x L
amount of water ----- 8x L

x + 8x = 4.5
9x = 4.5
x = .5
He uses .5 L or 1/2 L or 500 ml

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posted by Reiny

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