Question

Jack has $55, and Emily has $28. Jack is saving $4 per day, and Emily is saving $13 per day. After how many days will Jack and Emily have the same amount of money?

A: 1 Day
B: 3 Days
C: 4 Days
D: 8 Days

Answer 1

The answer should be 3 days

Answer 2

Answer: B: 3 Days

Explanation:

Let x be the number of days when Jack and Emily have the same amount of money.

Then, the total amount saved by Jack =
`4x+55`

The total amount saved by Emily =
`13x+28`

According to the question,

`13x+28=4x+55\\\Rightarrow\ 13x-4x=55-28\\\Rightarrow\ 9x=27\\\Rightarrow\ x=3`

Hence after 3 days, Jack and Emily will have the same amount of money.