Answer: Jack has $42
Step-by-step explanation:
Let be "j" the amount of money in dollars that Jack has, "w" the amount of money in dollars that Walker has and "t" the amount of money in dollars that Trust has.
You know that they have $100 altogether, then you can write the following equation:
[tex]j+w+t=100[/tex] [Equation 1]
Jack has $20 more than Walker, then:
[tex]j=w+20[/tex] [Equation 2]
And Trust has $14 more than walker, then you can write this equation:
[tex]t=w+14[/tex] [Equation 3]
Substitute the Equation 2 and the Equation 2 into the first one:
[tex]j+w+t=100\\\\(w+20)+w+(w+14)=100[/tex]
Now, solve fo "w":
[tex]w+20+w+w+14=100\\\\3w+34=100\\\\3w=100-34\\\\w=\frac{66}{3}\\\\w=22[/tex]
Finally, substiute the value of "w" into the Equation 2 and evaluate:
[tex]j=w+20\\\\j=22+20\\\\j=42[/tex]
