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Calculate; i. 6 5 3 × 2 4 1 ÷ 3 2 1 + 5 2 1 ii. √ 8 5 × 4 3 ÷ (6)+2 4 The sum of K1050 is to be shared am 1 of the share of the first born. The th youngest gets of the share of the fir 3 6
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Step-by-step solution
13 stepsHere are the solutions for Question 13 and 14:
13. Calculate:
Part i· 4 steps
Convert all mixed numbers to improper fractions.
The expression becomes:
Perform multiplication and division from left to right.
First, multiply:
The expression is now:
Next, divide (multiply by the reciprocal):
The expression is now:
Perform addition.
Find a common denominator, which is 70.
Simplify the fraction.
As a mixed number:
The calculated value is .
Part ii· 9 steps
Simplify the denominator of the last fraction.
The last fraction is , which simplifies to .
The expression becomes:Perform multiplication and division inside the square root from left to right.
First, multiply:
The expression is now:
Next, divide (multiply by the reciprocal):
The expression is now:
Calculate the square root.
The calculated value is .
14. The sum of K1050 is to be shared among three children. The second born gets of the share of the first born. The youngest gets of the share of the first born.
Define variables for the shares.
Let the share of the first born be .
Let the share of the second born be .
Let the share of the youngest born be .Express and in terms of .
Set up an equation for the total sum.
The total sum is K1050, so:
Substitute the expressions for and :
Solve for .
Find a common denominator for the fractions, which is 6:
Combine the terms:
Simplify the fraction to :
Multiply both sides by to find :
The first born's share is K700.
Calculate the shares of the second and youngest born.
Second born's share ():
Youngest born's share ():
(Note: Shares are rounded to two decimal places for currency.)
Verify the total sum.
The shares are:
First born:
Second born:
Youngest born:
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