making lemonade requires water and lemon juice in the ratio of 3 cups of water to 2 cups of lemon juice. You need a total of 10 allons for the fair. How many cups of lemon juice do you need?

First, you need to know how many cups in a gallon: 16

So, you need 160 cups

160/(3+2) = 32

water:juice = 3:2 = 3*32:2*32 = 96:64

you need 64 cups juice

Please help me

To find out how many cups of lemon juice you need, we'll first calculate the total cups of lemonade you'll need for the fair.

Since you need 10 gallons of lemonade, we need to convert the gallons to cups. There are 16 cups in one gallon, so 10 gallons would be 10 * 16 = 160 cups of lemonade.

The ratio of water to lemon juice is 3 cups of water to 2 cups of lemon juice.

To determine the required cups of lemon juice, we need to set up a proportion based on the ratio.

Let's say the cups of lemon juice needed is 'x'.

The proportion can be set up as follows:

(3 cups of water) / (2 cups of lemon juice) = (160 cups of lemonade) / (x cups of lemon juice)

Cross-multiplying, we get:

3 * x = 2 * 160

Simplifying, we have:

3x = 320

Dividing both sides of the equation by 3, we find:

x = 320 / 3

Calculating this, we get:

x ≈ 106.67

Therefore, you would need approximately 106.67 cups of lemon juice for the fair.

Note: Since we can't have a fraction of a cup, we would need to round up to the nearest whole number. So, you would need 107 cups of lemon juice.

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