Hayley is making trail mix using the ingredients listed below.

Question

2 1/2 cups of cereal
3/4 cup nuts
1/4 cup coconut
1 1/4 cups of chocolate chips

What is the total amount of all four ingredients?

A. 2 1/4cups

B. 2 3/4 cups

C. 3 1/2 cups

D. 4 3/4 cups

Answer 1

To find the total amount of all four ingredients in Hayley's trail mix, we will add them together.

1. Cereal: 2 1/2 cups
2. Nuts: 3/4 cup
3. Coconut: 1/4 cup
4. Chocolate chips: 1 1/4 cups

Let's convert all the mixed numbers to improper fractions for easier addition:

• 2 1/2 cups = \( \frac{5}{2} \) cups
• 3/4 cup = \( \frac{3}{4} \) cups
• 1/4 cup = \( \frac{1}{4} \) cups
• 1 1/4 cups = \( \frac{5}{4} \) cups

Now, let's find a common denominator to add these fractions. The common denominator for 2 and 4 is 4. We will convert \( \frac{5}{2} \) into fourths:

\[ \frac{5}{2} = \frac{5 \times 2}{2 \times 2} = \frac{10}{4} \]

Now we can add all the fractions together:

\[ \frac{10}{4} + \frac{3}{4} + \frac{1}{4} + \frac{5}{4} \]

Adding the numerators:

\[ 10 + 3 + 1 + 5 = 19 \]

So,

\[ \frac{19}{4} \]

Now, we will convert \( \frac{19}{4} \) back into a mixed number:

\[ \frac{19}{4} = 4 \frac{3}{4} \]

Thus, the total amount of all four ingredients is:

4 3/4 cups.

The correct answer is D. 4 3/4 cups.