Question

At the beginning of the first day, Ann has 25 dollars. By the end of the first day, Ann has 2/3 of the money that she had at the beginning of the first day. By the end of the second day, Ann has 4/7 of the money that she had at the end of the first day. How much money does Ann have at the end of the second day? Express your answer (in dollars) as a fraction.

Answer 1

Ann have at the end of the second day
`\$9(11)/(21).`

Explanation:

Given:

At the beginning of the first day, Ann has 25 dollars.

By the end of the first day, Ann has 2/3 of the money that she had at the beginning of the first day.

By the end of the second day, Ann has 4/7 of the money that she had at the end of the first day.

Now, to find the money Ann have at the end of the second day.

Ann has at the beginning of the first day = $25.

At the end of the first day Ann had:

`(2)/(3) \ of\ 25`

`=(2)/(3) * 25`

`=\$(50)/(3) .`

So, at the end of the first day Ann had
`=\$(50)/(3) .`

Now, to get the money Ann have at the end of the second day:

`(4)/(7) \ of\ (50)/(3)`

`=(4)/(7) * (50)/(3)`

`=(200)/(21)`

`=\$9(11)/(21) .`

Therefore, Ann have at the end of the second day
`\$9(11)/(21).`