A pizza boy delivered two-fifths of his pizzas on day 1, three-fourths of his…
2023
A pizza boy delivered two-fifths of his pizzas on day 1, three-fourths of his pizzas on day 2 and 9/16 of his pizzas on day 3. On which day did he deliver the most pizzas if he had the same number of pizzas in the beginning of each day?
- A.
Day 1
- B.
Day 2
- C.
Day 3
- D.
More than one of the above
- E.
None of the above
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Correct answer: B
To determine on which day the pizza boy delivered the most pizzas, compare the fractions of pizzas delivered each day: 2/5, 3/4, and 9/16.
Step 1: Find a common denominator for the fractions. The least common denominator of 5, 4, and 16 is 80.
Step 2: Convert each fraction to an equivalent fraction with denominator 80.
2/5 = (2 × 16)/(5 × 16) = 32/80
3/4 = (3 × 20)/(4 × 20) = 60/80
9/16 = (9 × 5)/(16 × 5) = 45/80
Step 3: Compare the numerators: 32, 60, and 45. The largest numerator is 60, which corresponds to 3/4.
Therefore, the pizza boy delivered the most pizzas on Day 2.
हिन्दी उत्तर:
पिज़्ज़ा बॉय द्वारा प्रत्येक दिन वितरित पिज़्ज़ा के भागों की तुलना करने के लिए: 2/5, 3/4 और 9/16।
चरण 1: भिन्नों के लिए एक सामान्य हर ज्ञात करें। 5, 4 और 16 का लघुत्तम सामान्य भाजक 80 है।
चरण 2: प्रत्येक भिन्न को 80 के हर के साथ एक समतुल्य भिन्न में बदलें।
2/5 = (2 × 16)/(5 × 16) = 32/80
3/4 = (3 × 20)/(4 × 20) = 60/80
9/16 = (9 × 5)/(16 × 5) = 45/80
चरण 3: अंशों की तुलना करें: 32, 60 और 45। सबसे बड़ा अंश 60 है, जो 3/4 के संगत है।
इसलिए, पिज़्ज़ा बॉय ने दिन 2 को सबसे अधिक पिज़्ज़ा वितरित किया।
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