Fruit Basket Ratio

From two ratios of apples and oranges in a fruit bowl, can you work out how many fruits there are?
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Problem



My fruit basket contains apples and oranges.

The ratio of apples to oranges in the basket is 3 : 8.

When I remove one apple the ratio changes to 1 : 3.

How many oranges are in the basket?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.