Question

Alan, Brady and Matt shared 740 marbles. Alan has 20 fewer marbles than Brady and 120 fewer marbles than Matt. How many marbles did Alan have?

Answer 1

Answer:

$200 \ marbles$

Step-by-step explanation:

$Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600$

Dividing $3$ both sides.

$\frac{3x}{3}=\frac{600}{3}\\\\x=200$