Question

Ashley is making lemonade. The recipe she is using calls for $\frac{3}{4}$ cup of water. Ashley wants to make five times the amount of lemonade that the recipe calls for. She mistakenly uses $4$ cups of water. If $x$ is the number of cups of water Ashley is supposed to use and $y$ is the number of cups of water she actually uses, what is $x-y$? Express your answer as a decimal.

Answer 1

x - y = - 0.25 cups.

Explanation:

Let x : The number of cups of water Ashley is supposed to use

y : The number of cups of water she actually uses

The actual measurement of water for 1 glass lemonade = 3/ 4 cup

So, the measurement of water for 5 glass lemonade

= 5 x ( Measure of water for 1 glass) =
`5 * ((3)/(4))`

The amount of water Ashley actually uses for 5 glass lemonade = 4 cups

⇒
`x = 5 * ((3)/(4))` = 3. 75 cups

and y = 4 cups

So, x - y = 3.75 cups - 4 cups = -0.25 cups.

Hence, she used the amount 0.25 cups water extra while making 5 glass lemonades according to the given recipe.