Answer:
The total amount of money that they shared is [tex]\£6,000[/tex]
Step-by-step explanation:
Let
x-----> amount of money Leo shares
y-----> amount of money Kush shares
z-----> amount of money Mai shares
we know that
[tex]\frac{x}{y} =\frac{3}{5}[/tex]
[tex]x=\frac{3}{5}y[/tex] -----> equation A
[tex]\frac{y}{z} =\frac{5}{8}[/tex]
[tex]z=\frac{8}{5}y[/tex] -----> equation B
[tex]\frac{x}{z} =\frac{3}{8}[/tex]
[tex]z=\frac{8}{3}x[/tex] -----> equation C
[tex]y=x+750[/tex] ------> equation D
substitute equation A in equation D and solve for y
[tex]y=\frac{3}{5}y+750[/tex]
[tex]y-\frac{3}{5}y=750[/tex]
[tex]\frac{2}{5}y=750[/tex]
[tex]y=750*5/2=\£1,875[/tex]
Find the value of x (equation A)
[tex]x=\frac{3}{5}(1,875)=\£1,125[/tex]
Find the value of z (equation C)
[tex]z=\frac{8}{3}(1,125)=\£3,000[/tex]
therefore
The total amount of money is equal to
[tex]x+y+z=\£1,125+\£1,875+\£3,000=\£6,000[/tex]
