Answer:
Step-by-step 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:
[tex]\frac{4}{5}I+I=270[/tex] and
[tex]\frac{4}{5}I+\frac{5}{5}I=270[/tex] and
[tex]\frac{9}{5}I=270[/tex] Now we'll solve for I, the number of shares that Ikedi has. Multiply both sides by 5 to get
[tex]9I=1350[/tex] then divide both sides by 9 to get
[tex]I=150[/tex]
Ikedi has 150 shares. Sub that back into the first equation to solve for K:
K + 150 = 270 so
K = 120
