Beginning 3930

Roland has 490 balls. If he gave 145 bullets to Marek, he would still have 100 more bullets than Marek. How many balls did Marek have at the beginning? How many shots do they have together?

Correct answer:

m =  100
r =  490
x =  590

Step-by-step explanation:


r=490
r-145 = m+145+100
x = m+r

r = 490
m-r = -390
m+r-x = 0

Pivot: Row 1 ↔ Row 2
m-r = -390
r = 490
m+r-x = 0

Row 3 - Row 1 → Row 3
m-r = -390
r = 490
2r-x = 390

Pivot: Row 2 ↔ Row 3
m-r = -390
2r-x = 390
r = 490

Row 3 - 1/2 · Row 2 → Row 3
m-r = -390
2r-x = 390
0.5x = 295


x = 295/0.5 = 590
r = 390+x/2 = 390+590/2 = 490
m = -390+r = -390+490 = 100

m = 100
r = 490
x = 590

Our linear equations calculator calculates it.



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