Question

На склад привезли сахар высшего качества. В трёх мешках 118 кг,во втором мешке 45 7/12 кг сахара,а в первом на 4 5/12 кг меньше,чем во втором. Сколько килограмм сахара в третьем мешке?

Answer 1

1) 45 7/12-4 5/12=547/12-53/12=494/12 кг - в первом мешке
2) 547/12+494/12= 1041/12 кг - в двух мешках
3) 118-1041/12=1416/12-1041/12=375/12=31 1/4 кг - в третьем мешке

Answer 2

Problem Analysis

We are given information about three bags of sugar. The second bag weighs 45 7/12 kg, and the first bag weighs 4 5/12 kg less than the second bag. We need to find the weight of sugar in the third bag.

Solution

Let's break down the problem step by step:

1. Calculate the weight of sugar in the first bag: - The first bag weighs 4 5/12 kg less than the second bag. - To find the weight of sugar in the first bag, we subtract 4 5/12 kg from the weight of the second bag. - Let's convert the mixed fraction to an improper fraction: 4 5/12 = (4 * 12 + 5) / 12 = 53/12 kg. - Subtracting 53/12 kg from the weight of the second bag gives us the weight of sugar in the first bag.

2. Calculate the weight of sugar in the third bag: - We are given that the total weight of the three bags is 118 kg. - To find the weight of sugar in the third bag, we subtract the sum of the weights of the first and second bags from the total weight. - Let's denote the weight of sugar in the third bag as x kg. - The equation becomes: x + (45 7/12 kg - 53/12 kg) + 45 7/12 kg = 118 kg. - Simplifying the equation will give us the weight of sugar in the third bag.

Let's calculate the weight of sugar in the third bag using the above steps.

Calculation

1. Calculate the weight of sugar in the first bag: - Weight of the second bag = 45 7/12 kg. - Weight of the first bag = Weight of the second bag - 4 5/12 kg. - Weight of the first bag = 45 7/12 kg - 4 5/12 kg. - Weight of the first bag = 41 2/12 kg. - Simplifying the fraction: 41 2/12 kg = 41 1/6 kg.

2. Calculate the weight of sugar in the third bag: - Total weight of the three bags = 118 kg. - Weight of the third bag = Total weight - (Weight of the first bag + Weight of the second bag). - Weight of the third bag = 118 kg - (41 1/6 kg + 45 7/12 kg). - Weight of the third bag = 118 kg - (41 1/6 kg + 45 7/12 kg). - Weight of the third bag = 118 kg - (41 2/12 kg + 45 7/12 kg). - Weight of the third bag = 118 kg - (86 9/12 kg). - Weight of the third bag = 118 kg - 86 9/12 kg. - Weight of the third bag = 31 3/12 kg. - Simplifying the fraction: 31 3/12 kg = 31 1/4 kg.

Answer

The weight of sugar in the third bag is 31 1/4 kg.

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