Dan saved twice as much as Brett. Maria saved $60 more than Brett. If they saved $600 altogether, how much did Maria save?

Please tell me the final answer and how you got it.

Respuesta :

Setting it up, we have Dan + Bret + Maria all saving 600.00
Dan = 2B
Bret = B
Maria = B+60

2B + B + B + 60 = 600
4B = 540
B = 135

Dan = 2(135) = 270
Brett = 135
Maria = 135 + 60 = 195

Answer:   $195

Step-by-step explanation:

Let x be the amount of money (in dollars) saved by Brett.

Then, the amount saved by Dan = 2x

The amount saved by Maria = 60+x           (1)

If they saved $600 altogether, then we have the following equation :-

[tex]x+2x+x+60=600\\\\\Rightarrow\ 4x=600-60\\\\\Rightarrow\ 4x=540[/tex]

Divide both sides by 3, we get

[tex]x=135[/tex]

Now, the amount saved by Brett = $135

The amount saved by Maria = $135+$60 = $195     [From (1)]