Mary = (1/3)x
Erin = x - 8
John = x
Here is your equation:
(1/3)x + (x - 8) + x = 267
Take it from here.
Answer:
John has $119 Erin has $111 Mary has $37
Step-by-step explanation:
Consider the provided information.
Let John has x dollar.
Erin has $8 less than John = x-8
Mary has a third of the money that Erin has = 1/3(x-8)
Together they have $267.
[tex]x+x-8+\frac{1}{3}(x-8)=267[/tex]
[tex]2x+\frac{1}{3}\times x-\frac{1}{3}\times 8=267+8[/tex]
[tex]2x+\frac{x}{3}-\frac{8}{3}=275[/tex]
Multiply both sides by 3.
[tex]6x+x-8=825[/tex]
[tex]7x=825+8[/tex]
[tex]7x=833[/tex]
[tex]x=119[/tex]
Thus, John has $119
Erin has $8 less than John = $119-$8 = $111
Mary has a third of the money that Erin has = 1/3($119-$8) = $37
