Question

Jose is baking a cake. The recipe calls for 24
2
4
cup of sugar for the cake and 35
3
5
cup of sugar for the frosting. How many cups of sugar will he need in all?(1 point)
Responses

2 220
2

2
20
2 220
2

2
20

159
5

Answer 1

To find the total amount of sugar Jose needs for both the cake and the frosting, you simply add the two amounts together.

The amounts are:
- For the cake: \( \frac{2}{4} \) cup of sugar
- For the frosting: \( \frac{3}{5} \) cup of sugar

First, let's convert \( \frac{2}{4} \) into a simpler form:

\[
\frac{2}{4} = \frac{1}{2}
\]

Now we have:
- Cake: \( \frac{1}{2} \) cup of sugar
- Frosting: \( \frac{3}{5} \) cup of sugar

Next, we need a common denominator to add these fractions. The least common multiple of 2 and 5 is 10.

Let's convert each fraction:
- \( \frac{1}{2} = \frac{5}{10} \)
- \( \frac{3}{5} = \frac{6}{10} \)

Now add the two fractions:

\[
\frac{5}{10} + \frac{6}{10} = \frac{11}{10}
\]

This can also be expressed as:

\[
\frac{11}{10} = 1 \frac{1}{10}
\]

So, the total amount of sugar Jose needs for the cake and frosting is \( \frac{11}{10} \) cups, or 1 cup and \( \frac{1}{10} \) cup.

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