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Four students look at all the dishes in a menu. Amy says one out of the 4 dishes is made from potatoes, Rohan says 25% of the dishes are made from potatoes. Sara says one-fourth of the dishes are made from the potatoes. Peter says half of the dishes are made from potatoes. Which student disagrees with the others ?

A

Amy

B

Rohan

C

Sara

D

Peter

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the statements made by each student regarding the dishes made from potatoes. 1. **Identify the statements:** - Amy: "One out of the 4 dishes is made from potatoes." - Rohan: "25% of the dishes are made from potatoes." - Sara: "One-fourth of the dishes are made from potatoes." - Peter: "Half of the dishes are made from potatoes." 2. **Convert the statements into fractions:** - Amy's statement can be expressed as a fraction: \[ \text{Amy's fraction} = \frac{1}{4} \] - Rohan's statement of 25% can also be converted to a fraction: \[ \text{Rohan's fraction} = \frac{25}{100} = \frac{1}{4} \] - Sara's statement is already in the form of a fraction: \[ \text{Sara's fraction} = \frac{1}{4} \] - Peter's statement can be expressed as: \[ \text{Peter's fraction} = \frac{1}{2} \] 3. **Compare the fractions:** - Amy, Rohan, and Sara all agree that the fraction of dishes made from potatoes is \(\frac{1}{4}\). - Peter's fraction is \(\frac{1}{2}\), which is different from the others. 4. **Conclusion:** - The student who disagrees with the others is Peter, as he claims that half of the dishes are made from potatoes, while the others claim that one-fourth of the dishes are made from potatoes. Thus, the answer is: **Peter is the student who disagrees with the others.**

To solve the problem, we need to analyze the statements made by each student regarding the dishes made from potatoes. 1. **Identify the statements:** - Amy: "One out of the 4 dishes is made from potatoes." - Rohan: "25% of the dishes are made from potatoes." - Sara: "One-fourth of the dishes are made from potatoes." - Peter: "Half of the dishes are made from potatoes." ...
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