Pregunta
5. Sarah decided to bake pumpkin bread and a cake. For the bread she needed \( 3 \frac{1}{3} \) cups of flour. For the cake she needed \( 1 \frac{2}{3} \) cups of flour. She had 8 cups of flour. How much flour did she have left over after making the bread and cake?
Ask by Estrada Sherman. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Sarah had 3 cups of flour left over after making the bread and cake.
Solución
1. Convert the mixed numbers to improper fractions:
- For the bread:
\[
3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
\]
- For the cake:
\[
1\frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3}
\]
2. Add the fractions to find the total amount of flour needed:
\[
\frac{10}{3} + \frac{5}{3} = \frac{10 + 5}{3} = \frac{15}{3} = 5
\]
3. Subtract the total amount used from the available flour:
\[
8 - 5 = 3
\]
Sarah had \(3\) cups of flour left over.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
Sarah needed a total of \( 3 \frac{1}{3} + 1 \frac{2}{3} \) cups of flour for both the pumpkin bread and the cake. To add these fractions, first convert them to improper fractions: \( 3 \frac{1}{3} = \frac{10}{3} \) and \( 1 \frac{2}{3} = \frac{5}{3} \). Adding these gives us \( \frac{10}{3} + \frac{5}{3} = \frac{15}{3} = 5 \) cups of flour needed in total. Now, Sarah started with 8 cups of flour. After baking, she has \( 8 - 5 = 3 \) cups of flour left over. So, Sarah has **3 cups of flour** left after making the pumpkin bread and cake!

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