# Subsequent 3312

We have to distribute the amount of 1200 euros to the five successful solvers of the Olympics so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get?

a =  340
b =  290
c =  240
d =  190
f =  140

## Step-by-step explanation:

1200 = a + (a-50) + (a-100) + (a-150) + (a-200)
b = a-50
c = b-50
d = c-50
f = d- 50

5a = 1700
a-b = 50
b-c = 50
c-d = 50
d-f = 50

Row 2 - 1/5 · Row 1 → Row 2
5a = 1700
-b = -290
b-c = 50
c-d = 50
d-f = 50

Row 3 + Row 2 → Row 3
5a = 1700
-b = -290
-c = -240
c-d = 50
d-f = 50

Row 4 + Row 3 → Row 4
5a = 1700
-b = -290
-c = -240
-d = -190
d-f = 50

Row 5 + Row 4 → Row 5
5a = 1700
-b = -290
-c = -240
-d = -190
-f = -140

f = -140/-1 = 140
d = -190/-1 = 190
c = -240/-1 = 240
b = -290/-1 = 290
a = 1700/5 = 340

a = 340
b = 290
c = 240
d = 190
f = 140

Our linear equations calculator calculates it.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?