Pregunta
Meredith found the following partial containers of detergent in the basement: \( \frac{1}{2} \) quart, \( 1 \frac{1}{4} \) gallons, and \( \frac{3}{4} \) gallon. Meredith wants to combine these into pint containers. How many will she need? Enter your answer in the box. pint containers
Ask by Moran Murray. in the United States
Feb 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Meredith will need 17 pint containers.
Solución
To determine how many pint containers Meredith will need, we first need to convert all the quantities of detergent into pints.
1. **Convert quarts to pints:**
- There are 2 pints in 1 quart.
- Therefore, for \( \frac{1}{2} \) quart:
\[
\frac{1}{2} \text{ quart} \times 2 \text{ pints/quart} = 1 \text{ pint}
\]
2. **Convert gallons to pints:**
- There are 8 pints in 1 gallon.
- For \( 1 \frac{1}{4} \) gallons:
\[
1 \frac{1}{4} \text{ gallons} = \frac{5}{4} \text{ gallons}
\]
\[
\frac{5}{4} \text{ gallons} \times 8 \text{ pints/gallon} = 10 \text{ pints}
\]
- For \( \frac{3}{4} \) gallon:
\[
\frac{3}{4} \text{ gallon} \times 8 \text{ pints/gallon} = 6 \text{ pints}
\]
3. **Total pints:**
Now, we add all the pints together:
\[
1 \text{ pint} + 10 \text{ pints} + 6 \text{ pints} = 17 \text{ pints}
\]
Thus, Meredith will need a total of \( \boxed{17} \) pint containers.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
First, let's convert all the volumes into pints. There are 2 pints in a quart, so \( \frac{1}{2} \) quart is \( 1 \) pint. For the gallons, since there are 8 pints in a gallon: - \( 1 \frac{1}{4} \) gallons is \( 1.25 \times 8 = 10 \) pints. - \( \frac{3}{4} \) gallon is \( 0.75 \times 8 = 6 \) pints. Now, adding them together: \( 1 + 10 + 6 = 17 \) pints. So, Meredith will need **17 pint containers**.
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