Question

1. rico and ian ran an equal ratio of miles on tuesday and wednesday. the ratio of miles rico ran tuesday to wednesday was 5 to 15. which ratio represents the miles ian ran?

options: 9:36, 6:18, 4:8, 10:20

Explanation:

Step1: Simplify Rico's ratio

Rico's ratio (Tuesday:Wednesday) is \(5:15\). Simplify by dividing both parts by 5: \(\frac{5}{5}:\frac{15}{5}=1:3\).

Step2: Simplify each option

• Option 9:36: Divide by 9: \(\frac{9}{9}:\frac{36}{9}=1:4\) (not equal).
• Option 6:18: Divide by 6: \(\frac{6}{6}:\frac{18}{6}=1:3\) (equal to Rico's simplified ratio).
• Option 4:8: Divide by 4: \(\frac{4}{4}:\frac{8}{4}=1:2\) (not equal).
• Option 10:20: Divide by 10: \(\frac{10}{10}:\frac{20}{10}=1:2\) (not equal).

Answer:

6:18