The ratio of the number of workers in Factory A to Factory B was 14 : 9.

When 15 workers from Factory A resigned and 20 workers joined Factory B, the number of workers in both factories became the same.

How many workers are in each factory now?

The number of apples to pears in a box was 8 : 9 at first.

Then 132 apples were added into the box.

1/6 of the pears was also added.

As a result, the ratio became 9 : 7.

How many apples were there at first?

The ratio of the number of men to women at a soccer match was 3 : 4 at first.

    During half time, 178 men and 354 women left.

    The ratio of men to women who remained became 4 : 3.

    How many men stayed on after half time?

Jake and Tiffany each had some money.

    Every day, Jake spent $10 and Tiffany spent $15.

    When Tiffany had spent all her money, Jake still had $41 left.

If Jake and Tiffany had spent $12 and $8 respectively each day instead, Jake would have $6 left when Tiffany had spent all her money.

If both children spent the same amount each day, how much money would Jake have left when Tiffany had spent all her money?

Mary had a full bottle of orange juice.

As the juice was too sweet, she poured away 1/4 of the drink and topped it up with water.

    After the contents were thoroughly mixed, she found that it was still too sweet.

    She poured away 1/4 of the mixture and topped it up with water again.

What is the ratio of the amounts of orange juice to water now?

    Express your answer in the simplest form.