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?

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

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

To find out how much syrup Farah used, we need to determine the ratio between the amount of syrup and the amount of water.

The given ratio is 1:8, which means the syrup-water mixture contains a total of 1+8 = 9 parts.

We know that Farah made 4.5L of drink. To find out the amount of syrup, we need to calculate 1 part out of the total 9 parts and then multiply it by 4.5L.

The amount of syrup in 1 part is 4.5L/9 = 0.5L.

Therefore, Farah used 0.5 liters of syrup for the party drink.

To find out how much syrup Farah used, we first need to determine the total number of parts in the ratio 1:8.

In this case, the ratio is 1:8, which means there is a total of 1 + 8 = 9 parts.

Next, we can calculate the amount of one part. Since we know Farah made 4.5L of the drink, we can divide this amount by the total number of parts:

4.5L ÷ 9 = 0.5L

So one part is equal to 0.5 liters.

Since Farah used syrup in a 1:8 ratio, she used 1 part of syrup for every 8 parts of water. In other words, for every 9 parts of the mixture, 1 part is syrup.

To find out how much syrup she used in total, we multiply the amount of one part by the number of parts of syrup:

0.5L × 1 = 0.5L

Therefore, Farah used 0.5 liters of syrup to make 4.5 liters of the drink.