Brian needs $315 to buy a new cell phone. He has already saved $115 and plans to save an additional
$10 per week. He also needs to pay off the balance on his current phone, which is $140. How many
weeks will he have to save to buy the phone?

Respuesta :

Answer:

34 weeks

Step-by-step explanation:

Hello!

We can set up an equation to solve for the number of weeks.

Let w = the number of weeks he is saving up.

The equation is [tex]315 = 115 + 10w - 140[/tex]

  • 315 is the target amount
  • 115 is the current amount
  • 10w is the rate of growth
  • 140 is the current debt

Solve for w

  • [tex]315 = 115 + 10w - 140[/tex]
  • [tex]315 = -25 + 10w[/tex]
  • [tex]340 = 10w[/tex]
  • [tex]340/10 = w[/tex]
  • [tex]34 = w[/tex]

He needs to save up for 34 weeks.