Muya had a 6 2/3 ha piece of land he donated 7/8 ha to a school and 11/2 ha to A children's home. The rest of the land was shared equally between his son and daughter find the size of land that each child got.

Question

Muya had a 6 2/3 ha piece of land he donated 7/8 ha to a school and 11/2 ha to A children's home. The rest of the land was shared equally between his son and daughter find the size of land that each child got.

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

First, we need to convert all the land measurements to a common denominator.

6 2/3 ha = 20/3 ha
7/8 ha = 15/24 ha
11/2 ha = 12/24 ha

Now, we can calculate the total land Muya donated:

20/3 ha (Muya's total land) = 15/24 ha (school) + 12/24 ha (children's home) + x ha (son) + x ha (daughter)

20/3 = 27/24 + 12/24 + 2x
20/3 = 39/24 + 2x
80/3 = 39/2 + 2x
80/3 - 39/24 = 2x
160/8 - 39/24 = 2x
20 - 39/24 = 2x
(480 - 39)/24 = 2x
441/24 = 2x
441/24 ÷ 2 = x
x = 441/48
x = 9 3/4 ha

Each child got 9 3/4 ha of land.