Q:

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.

Accepted Solution

A:
Answer: x - y =  -  0.25 cups.Step-by-step explanation:Let x :  The number of cups of water Ashley is supposed to use     y :  The  number of cups of water she actually usesThe actual measurement of water for 1 glass lemonade = 3/ 4 cupSo, the measurement of water for 5 glass lemonade  =  5 x ( Measure of water for 1 glass) = [tex]5 \times (\frac{3}{4})[/tex]The amount of water Ashley actually uses for 5 glass lemonade  = 4 cups⇒  [tex]x = 5 \times (\frac{3}{4})[/tex]  = 3. 75 cups    and   y = 4 cupsSo, 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.