Comparing Pumpkins and Pears: What's the Ratio?

Which is the ratio of pumpkins to pears?

1) 2 pears to 2 pumpkins

2) 2 pears to 2 pumpkins

3) 3 pumpkins to 2 pears

4) 3 pears to 3 pumpkins

Answer:

The question is about the ratios of pumpkins to pears. The ratios in options 1, 2, and 4 can be simplified to a 1:1 ratio, indicating equal quantities of pears and pumpkins. The ratio in option 3 remains as 3 pumpkins to 2 pears, indicating an unequal quantity of pears and pumpkins.

In this problem, we are asked to compare the number of pumpkins to the number of pears using ratios. Ratios are a way to express relationships between two quantities. They can be written in different forms, such as a to b, a:b, or a/b.

When looking at the given options, options 1, 2, and 4 all simplify to a 1:1 ratio, indicating an equal amount of pears and pumpkins. Option 3, on the other hand, shows a ratio of 3 pumpkins to 2 pears, which means there are more pumpkins than pears.

Ratio simplification involves dividing both parts of the ratio by their greatest common factor (GCF), similar to simplifying fractions. By simplifying the ratios, we can determine the relationship between pumpkins and pears more easily.

Understanding ratios is essential for comparing quantities and understanding proportions in various scenarios. By practicing more ratio problems, you can sharpen your math skills and improve your problem-solving abilities.