Question

1. select the correct answer.

which answer shows the correct ratios for the problem?
jamil is having an international feast. she had 5 chinese dishes, 7 mexican dishes, and 10 indian dishes. what is the ratio of chinese dishes to total dishes?
total dishes: $5 + 7 + 10 = 21$
word notation: $5:21$
odds notation: $5$ to $21$
fractional notation: $\frac{5}{21}$
total dishes: $5 + 7 + 10 = 22$
word notation: $5:22$
odds notation: $5$ to $22$
fractional notation: $\frac{22}{5}$
total dishes: $5 + 10 + 7 = 23$
word notation: $5$ to $23$
odds notation: $5:23$
fractional notation: $\frac{5}{23}$
total dishes: $5 + 7 + 10 = 22$
word notation: $5$ to $22$
odds notation: $5:22$
fractional notation: $\frac{5}{22}$

Explanation:

Step1: Calculate total dishes

Total dishes = Chinese dishes + Mexican dishes + Indian dishes = \(5 + 7+10=22\)

Step2: Determine ratio notations

• Word notation: \(a:b\) (where \(a = 5\) Chinese dishes, \(b = 22\) total dishes) → \(5:22\)
• Odds notation: \(a\) to \(b\) → \(5\) to \(22\)
• Fractional notation: \(\frac{a}{b}\) → \(\frac{5}{22}\)

Answer:

Total dishes: \(5 + 7 + 10 = 22\)
Word notation: \(5:22\)
Odds notation: \(5\) to \(22\)
Fractional notation: \(\frac{5}{22}\) (the fourth option)