AA.16 Solve one-step equations: word problems

Question

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The vet said that Kimberly's cat, Chuckles, needs a special diet. So, Kimberly feeds Chuckles dry food in the morning and
3
4
of a cup of wet food in the evening. In all, Kimberly feeds Chuckles 1
1
4
cups of food each day.
Which equation can you use to find the amount of dry food d Kimberly feeds Chuckles?
Solve this equation for d to find the amount of dry food Kimberly feeds Chuckles.
To write a fraction, use a slash ( / ) to separate the numerator and denominator.
cups

Answer 1

To solve the problem, we need to find the amount of dry food \( d \) that Kimberly feeds Chuckles.

We know from the problem that:

• The total amount of food Chuckles eats in a day is \( 1 \frac{1}{4} \) cups.
• The amount of wet food Chuckles eats in the evening is \( \frac{3}{4} \) cups.

We can write an equation to represent the total amount of food:

\[ d + \frac{3}{4} = 1 \frac{1}{4} \]

First, we need to convert \( 1 \frac{1}{4} \) into an improper fraction.

\[ 1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \]

Now, we can rewrite the equation:

\[ d + \frac{3}{4} = \frac{5}{4} \]

To solve for \( d \), we subtract \( \frac{3}{4} \) from both sides of the equation:

\[ d = \frac{5}{4} - \frac{3}{4} \]

Calculating the right side:

\[ d = \frac{5 - 3}{4} = \frac{2}{4} = \frac{1}{2} \]

So, the amount of dry food Kimberly feeds Chuckles is

\[ \frac{1}{2} \text{ cups.} \]

Thus, the final answer is:

\[ \frac{1}{2} \text{ cups.} \]