John saved 8/5 of what Mary saved. Idf Mar saved P 390 lessthan what John saved, how much did both of them saved?

j = 8/5m

j - m = 390

Substitute 8/5m for j in the second equation and solve for m. Insert that value into the first equation to solve for j. Check by putting both values into the second equation.

To solve this problem, you need to follow these steps:

1. Assign variables to the unknown quantities. Let's say John's savings are denoted by J, and Mary's savings are denoted by M.

2. From the given information, we know that John saved 8/5 of what Mary saved. Therefore, we can write the equation J = (8/5)M.

3. It is also given that Mary saved P 390 less than what John saved. We can express this as M = J - 390.

4. Now, substitute the value of J from equation 2 into equation 1: (8/5)M = J. Rewrite this equation as J = (8/5)J - 390.

5. Simplify the equation: J - (8/5)J = -390.

6. Combine like terms: (5/5)J - (8/5)J = -390. Simplify further to get (-3/5)J = -390.

7. Divide both sides of the equation by -3/5 to solve for J: J = (-390) / (-3/5).

8. When you divide a number by a fraction, you can multiply the number by the reciprocal of the fraction. In this case, multiply -390 by -5/3. J = (-390) * (-5/3).

9. Calculate: J = 650.

10. Now, substitute the value of J back into equation 1 to find M: (8/5)M = 650.

11. Multiply both sides of the equation by 5/8: M = 650 * (5/8).

12. Calculate: M = 406.25.

So, John saved P 650, and Mary saved P 406.25.