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A fruit seller has apples and oranges in the ratio 5:6. What part of the whole fruits are oranges? |
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Answer» Answer: Let the number of fruits be 2k, 5K and 8k Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8 Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24 Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s SAY 5k – 2k = 24n Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24n Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, N should be equal to 1 Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, n should be equal to 13k = 24 Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, n should be equal to 13k = 24Or k = 8 Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, n should be equal to 13k = 24Or k = 8Hence, the number of fruits = 2k + 5k + 8k Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, n should be equal to 13k = 24Or k = 8Hence, the number of fruits = 2k + 5k + 8k= 15 * 8= 120 Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, n should be equal to 13k = 24Or k = 8Hence, the number of fruits = 2k + 5k + 8k= 15 * 8= 120The question is "What is the minimum number of fruits in his shop?" Let the number of fruits be 2k, 5k and 8kGiven, 5k – 2k = multiple of 6 and 8LCM of 6 and 8 is 24Let’s say 5k – 2k = 24n3k = 24nFor k to be a natural number and have minimum value, n should be equal to 13k = 24Or k = 8Hence, the number of fruits = 2k + 5k + 8k= 15 * 8= 120The question is "What is the minimum number of fruits in his shop?"Hence, the answer is "120" |
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