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A piece of land was sold for a certain amount of money. Musa received 25% of the money, Xmina received 30%, Kato received half of Xmina's share, and Sarah received 100,000,000 shillings. Calculate the
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13 stepsHere's a breakdown of the problem:
Part a· 4 steps
Find the total amount of money obtained from the sale of the land.
Identify the shares of each child.
Let be the total amount of money obtained from the sale of the land.
Musa receives of .
Xmina receives of .
Kato receives half of what Xmina received, which is of .
Sarah receives the remainder, which is 100,000,000 shillings.Calculate the total percentage received by Musa, Xmina, and Kato.
Determine the percentage Sarah received.
Since Sarah received the remainder, her share is of .
Calculate the total amount of money .
We know that of is 100,000,000 shillings.
The total amount of money obtained from the sale of the land is .
Part b· 3 steps
Find how much Musa, Xmina, and Kato received.
Calculate Musa's share.
Musa received of .
Calculate Xmina's share.
Xmina received of .
Calculate Kato's share.
Kato received of .
Musa received , Xmina received , and Kato received .
Part c· 3 steps
Determine the next date when all four children will visit their parents on the same day.
Identify the visiting intervals for each child.
Musa visits every 15 days.
Xmina visits every 18 days.
Kato visits every 24 days.
Sarah visits every 30 days.
They all last visited on January 1st.Find the Least Common Multiple (LCM) of the visiting intervals.
We need to find the LCM of and 30.
Prime factorization:
LCM is .
So, they will all visit on the same day every 360 days.Calculate the next common visit date.
Their last common visit was January 1st.
The next common visit will be 360 days after January 1st.
Number of days in January: 31
Number of days in February (2024 is a leap year, so 29 days): 29
Number of days in March: 31
Number of days in April: 30
Number of days in May: 31
Number of days in June: 30
Number of days in July: 31
Number of days in August: 31
Number of days in September: 30
Number of days in October: 31
Number of days in November: 30
Number of days in December: 31Starting from January 1st:
January: 31 days (remaining )
February: 29 days (remaining )
March: 31 days (remaining )
April: 30 days (remaining )
May: 31 days (remaining )
June: 30 days (remaining )
July: 31 days (remaining )
August: 31 days (remaining )
September: 30 days (remaining )
October: 31 days (remaining )
November: 30 days (remaining )
December: The th day of December.The next date when all four children will visit their parents on the same day is .
Part d· 3 steps
State whether the parents should organize the thanksgiving lunch before the end of March.
Recall the condition for organizing the lunch.
The parents plan to organize a thanksgiving lunch only if the next common visit falls before the end of March.
Compare the next common visit date with the end of March.
The next common visit date is December 25th.
The end of March is March 31st.Conclude based on the comparison.
Since December 25th is after March 31st, the condition is not met.
The parents should .
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