Question

Kanu and Ikedi shared 270 in such a way that 2/5 of Ikedi's share is equal to 1/2 of kanu's. Find their shares.

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Answer 1

Explanation:

We'll solve this with a system of equations. The first equation says that K's shares plus I's shares total 270; therefore,

K + I = 270

The second equation talks about the ratios of their shares.

2/5 I = 1/2 K We'll solve for K by multiplying both sides by 2:

4/5 I = K Now we'll sub that in for K to the first equation:

`(4)/(5)I+I=270` and

`(4)/(5)I+(5)/(5)I=270` and

`(9)/(5)I=270` Now we'll solve for I, the number of shares that Ikedi has. Multiply both sides by 5 to get

`9I=1350` then divide both sides by 9 to get

`I=150`

Ikedi has 150 shares. Sub that back into the first equation to solve for K:

K + 150 = 270 so

K = 120