Stamp mark difference

Rob and Mike have a total of 350 stamps. If Rob gave Misha 50 marks, Misha would have six times more marks than Rob. How many fewer marks does Rob have than Mike?

Final Answer:

x =  150

Step-by-step explanation:


r+m = 350
6(r-50) = m+50
x = m-r

r+m = 350
6·(r-50) = m+50
x = m-r

m+r = 350
m-6r = -350
m-r-x = 0

Row 2 - Row 1 → Row 2
m+r = 350
-7r = -700
m-r-x = 0

Row 3 - Row 1 → Row 3
m+r = 350
-7r = -700
-2r-x = -350

Row 3 - -2/-7 · Row 2 → Row 3
m+r = 350
-7r = -700
-x = -150


x = -150/-1 = 150
r = -700/-7 = 100
m = 350-r = 350-100 = 250

m = 250
r = 100
x = 150

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