# You have a fruit ratio of 23 to 1(cherries to apples), if you have 15 apples how many cherries would you have?

Nov 16, 2016

$345$ cherries.

#### Explanation:

Mastering ratios has a lot to do with how you write down what you are told:

$\text{ cherries ":" apples }$
$\text{ 23 ":" 1} \leftarrow$ there is one apple for every 23 cherries
$\text{ ? ":" 15}$

We can understand the ratio as telling that there are 23 times as many cherries as apples.

So, for $15$ apples there will be$\text{ "23xx15 = 345" }$cherries

Writing the information as a direct proportion gives:

$\frac{23}{x} = \frac{1}{15}$

$x = 23 \times 15$

$x = 345 \text{ }$cherries