Question

Zing's Wings Shack lets customers mix their own sauces. Last night, Jared and Tyler were both in the mood for spicier wings than usual. Jared mixed 4 pumps of spicy sauce and 6 pumps of sweet sauce to put on his wings. Tyler mixed 3 pumps of spicy sauce and 9 pumps of sweet sauce to put on his wings. Who used a greater ratio of spicy sauce to sweet sauce?

Answer 1

To find out who used a greater ratio of spicy sauce to sweet sauce, we will calculate the ratio of spicy sauce to sweet sauce for both Jared and Tyler.

Jared's Sauce Ratio:

• Spicy sauce: 4 pumps
• Sweet sauce: 6 pumps

The ratio of spicy sauce to sweet sauce for Jared is: \[ \text{Ratio for Jared} = \frac{\text{Spicy sauce}}{\text{Sweet sauce}} = \frac{4}{6} = \frac{2}{3} \]

Tyler's Sauce Ratio:

• Spicy sauce: 3 pumps
• Sweet sauce: 9 pumps

The ratio of spicy sauce to sweet sauce for Tyler is: \[ \text{Ratio for Tyler} = \frac{\text{Spicy sauce}}{\text{Sweet sauce}} = \frac{3}{9} = \frac{1}{3} \]

Comparison of Ratios: Now that we have both ratios, we can compare them:

• Jared's ratio: \( \frac{2}{3} \)
• Tyler's ratio: \( \frac{1}{3} \)

Since \( \frac{2}{3} \) is greater than \( \frac{1}{3} \), Jared used a greater ratio of spicy sauce to sweet sauce.

Thus, the answer is Jared.