Clarence is buying a pack of treats for his bacon-loving dog, Buster. A pack of Canine Crisps has 15 bacon treats and 20 peanut butter treats. A pack of BowWow Bumpers has 18 bacon treats and 25 peanut butter treats. Which pack has a greater ratio of bacon treats to peanut butter treats?

A. A pack of Canine Crisps has a greater ratio.
B. A pack of BowWow Bumpers has a greater ratio.
C. Neither. The packs have the same ratio.

1 answer

To find out which pack has a greater ratio of bacon treats to peanut butter treats, we can calculate the ratio for each pack.

  1. For Canine Crisps:

    • Number of bacon treats = 15
    • Number of peanut butter treats = 20
    • Ratio = \( \frac{15}{20} = \frac{3}{4} \)
  2. For BowWow Bumpers:

    • Number of bacon treats = 18
    • Number of peanut butter treats = 25
    • Ratio = \( \frac{18}{25} \)

Now we can compare the two ratios:

  • Canine Crisps has a ratio of \( \frac{3}{4} \).
  • BowWow Bumpers has a ratio of \( \frac{18}{25} \).

To compare \( \frac{3}{4} \) and \( \frac{18}{25} \), we can convert them to a common denominator or cross-multiply.

Cross-multiplying:

  • \( 3 \times 25 = 75 \)
  • \( 18 \times 4 = 72 \)

Since \( 75 > 72 \), we can conclude that:

\[ \frac{3}{4} > \frac{18}{25} \]

Thus, the pack with the greater ratio of bacon treats to peanut butter treats is:

A. A pack of Canine Crisps has a greater ratio.