Question

Ava and Addison are saving for a new cell phone. Ava is starting at 100$ and adding 5$ each week.Addison is starting with 200$ and is adding 4$ each week. Write and solve a problem that can be used to find out after how many weeks Ava and Addison will have the same amount of money saved?

Answer 1

Answer:

The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks .

Step-by-step explanation:

Given as :

The amount of money having with Ava at starting = $100

The money that Ava is saving each week = $5

The amount of money having with Addison at starting = $200

The money that Addison is saving each week = $4

Now, Let The numbers of weeks for which both Ava and Addison have same amount of money saved = n weeks

Now, According to question

The amount of money having with Ava at starting + (The money that Ava is saving each week × numbers of weeks) = The amount of money having with Addison at starting + (The money that Addison is saving each week × numbers of weeks)

Or, $100 + $5 × n = $200 + $4 × n

Or, $5 × n - $4 × n = $200 - $100

Or, n = 100

So,  The numbers of weeks for which both Ava and Addison have same amount of money saved = n = 100 weeks

Hence,The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks . Answer