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Jeffrey orders 16 quesadillas for a party. There are \( 3 \frac{5}{8} \) quesadillas left after the party. How many quesadillas are eaten?

Ask by French Gonzalez. in the United States
Feb 04,2025

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Answer

\( 12 \frac{3}{8} \) quesadillas were eaten.

Solution

To determine how many quesadillas were eaten at Jeffrey's party, we can subtract the number of quesadillas left from the total number ordered. **Total Quesadillas Ordered:** 16 **Quesadillas Left After the Party:** \( 3 \frac{5}{8} \) **Calculation:** \[ 16 - 3 \frac{5}{8} \] First, convert 16 to a fraction with the same denominator to make the subtraction easier: \[ 16 = \frac{16 \times 8}{8} = \frac{128}{8} \] Now subtract: \[ \frac{128}{8} - \frac{29}{8} = \frac{128 - 29}{8} = \frac{99}{8} \] Convert the improper fraction back to a mixed number: \[ \frac{99}{8} = 12 \frac{3}{8} \] **Answer:** \( 12 \frac{3}{8} \) quesadillas were eaten.

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To find out how many quesadillas were eaten, we start by determining how many were consumed from the original order. Jeffrey ordered 16 quesadillas and after the party, there were \( 3 \frac{5}{8} \) quesadillas left. First, convert \( 3 \frac{5}{8} \) to an improper fraction: \( 3 \frac{5}{8} = \frac{3 \times 8 + 5}{8} = \frac{24 + 5}{8} = \frac{29}{8} \). Next, we need to convert 16 into a fraction that has the same denominator of 8: \( 16 = \frac{16 \times 8}{8} = \frac{128}{8} \). Now we can calculate the number of quesadillas eaten: \( \text{Quesadillas eaten} = 16 - \frac{29}{8} = \frac{128}{8} - \frac{29}{8} = \frac{128 - 29}{8} = \frac{99}{8} \). This can also be expressed as a mixed number: \( \frac{99}{8} = 12 \frac{3}{8} \). So, the total number of quesadillas eaten is \( 12 \frac{3}{8} \).

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