suppse joe and frank have the same amount of money how much must joe give frank so that frank has $10 more than joe

Question

suppse joe and frank have the same amount of money how much must joe give frank so that frank has $10 more than joe

Answer 1

Let J = the amount of money Joe has

F = the amount of money Frank has

x = the amount of money Joe gives Frank

Then we have from the given information that the following two equations are true:

(1) J = F

(2) J - x = F + x - 10

Using (1) to replace J with F in (2) then gives us

(3) F - x = F + x - 10

The application of a sequence of basic algebraic steps to (3) then gives us

-x = x - 10 (subtraction of F from both sides)

-2x = -10 (subtraction of x from both sides)

x = 5 (division by -2 on both sides)

Thus, Joe must give Frank $5 for Frank to have $10 more than Joe.