Question

The ratio of apples to bananas is 1 to 3. The ratio of peaches to bananas is 3 to 2. What is the ratio of apples to peaches?

Answer 1

Answer:

The ratio of apples to peaches is 2 to 9.

Step-by-step explanation:

For every 1 apple, there are 3 bananas.

For every 3 peaches, there are 2 bananas.

To compare apples to peaches, we need to make the bananas in each of the proportions equal.

(1 apple = 3 bananas ) x 2    --> 2 apples= 6 bananas

(3 peaches = 2 bananas) x 3 --> 9 peaches= 6 bananas

Now that the bananas are equal and the other fruits are proportionate to the number of bananas, we can see that for every 2 apples there are 9 peaches.