Question

It takes 1/2 cups of sugar to make 3/8 gallons of sweet tea. If the recipe is for 1 gallon of sweat tea, how much sugar is needed to make triple the recipe?

A) 2 cups of sugar
B) 3 cups of sugar
C) 4 cups of sugar
D) 6 cups of sugar

Answer 1

its c.4

Explanation:

Answer 2

Option C

4 cups of sugar is needed

Solution:

Given that It takes 1/2 cups of sugar to make 3/8 gallons of sweet tea

cups of sugar =
`(1)/(2)`

gallons of sweet tea =
`(3)/(8)`

If the recipe is for 1 gallon of sweat tea, then the cups of sugar needed is given as:

`(3)/(8) \text{ gallons of sweet tea } = (1)/(2) \text{ cups of sugar }`

`1 \text{ gallon of tea } = x \text{ cups of sugar }`

On cross-multiplying we get,

`1 * (1)/(2) = x * (3)/(8)\\\\x = (1)/(2) * (8)/(3)\\\\x = (4)/(3)`

So to make triple the receipe, quantity of sugar needed is:

so the receipe is for 3 gallon of sweet tea, then sugar needed is:

`\rightarrow (4)/(3) * 3 = 4`

Thus 4 cups of sugar is needed