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?

Answer 1

To find the amount of dry food \( d \) that Kimberly feeds Chuckles, we can set up an equation based on the information given.

Kimberly feeds Chuckles:

• \( d \) cups of dry food in the morning
• \( \frac{3}{4} \) cups of wet food in the evening

In total, she feeds Chuckles \( 1 \frac{1}{4} \) cups of food each day. We can convert \( 1 \frac{1}{4} \) to an improper fraction:

\[ 1 \frac{1}{4} = \frac{5}{4} \text{ cups} \]

The equation representing the total amount of food fed to Chuckles can be written as:

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

This equation can be used to solve for \( d \), the amount of dry food.