Question

or
At Outfield Sports Shop, Brandon is deciding which set of equipment to buy. He usually only plays with standard baseballs, but he wants to get some plastic baseballs to use when playing with his younger cousins. The store offers a starter set with 2 plastic balls and 5 standard balls, and a deluxe set with 4 plastic balls and 10 standard balls. Do the starter set and deluxe set have the same ratio of plastic baseballs to standard baseballs?

Answer 1

To find out if the starter set and the deluxe set have the same ratio of plastic baseballs to standard baseballs, we can calculate the ratio for each set.

**Starter Set:**
- Plastic baseballs: 2
- Standard baseballs: 5

The ratio of plastic baseballs to standard baseballs in the starter set is:
\[
\text{Ratio (Starter Set)} = \frac{\text{Plastic baseballs}}{\text{Standard baseballs}} = \frac{2}{5}
\]

**Deluxe Set:**
- Plastic baseballs: 4
- Standard baseballs: 10

The ratio of plastic baseballs to standard baseballs in the deluxe set is:
\[
\text{Ratio (Deluxe Set)} = \frac{\text{Plastic baseballs}}{\text{Standard baseballs}} = \frac{4}{10}
\]

Now, we can simplify the ratio for the deluxe set:
\[
\frac{4}{10} = \frac{2}{5}
\]

Now we compare the two ratios:
- Starter Set: \(\frac{2}{5}\)
- Deluxe Set: \(\frac{2}{5}\)

Both ratios are equal, so we can conclude that the starter set and deluxe set have the same ratio of plastic baseballs to standard baseballs.