Question

Savings account A contains $80. Lance will begin depositing money into this account at a rate of $3.50 per week. Savings account B contains $95. Lara will begin depositing money into this account at a rate of $3.25 per week.. After how many weeks will both accounts contain the same amount of money?

A-290 weeks

B-15 weeks

C-3.75

D-60

Answer 1

Answer: D-60

Explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x ....(i)

When both account have the same amount , then

`80+3.50x=95+3.25x \\\\\Rightarrow\ 3.50-3.25x=95-80\\\\\Rightarrow\ 0.25x=15\\\\\Rightarrow\ x=(15)/(0.25)\\\\\Rightarrow\ x=60`

hence, it will take 60 weeks.

The correct option is D-60.