Question

1. select the correct answer.

which answer shows the correct ratios for the problem?
jamal is having an international feast. she had 5 chinese dishes, 7 mexican dishes, and 10 indian dishes. what is the ratio of indian dishes to chinese dishes?
word notation: 10:5
odds notation: 10 to 5
fractional notation: \\( \frac { 5 \div 5 } { 10 \div 5 } = \frac { 1 } { 2 } \\)
word notation: 5:10
odds notation: 5 to 10
fractional notation: \\( \frac { 5 \div 5 } { 10 \div 5 } = \frac { 1 } { 2 } \\)
word notation: 10 to 5
odds notation: 10:5
fractional notation: \\( \frac { 10 \div 5 } { 5 \div 5 } = \frac { 2 } { 1 } \\)
word notation: 5 to 10
odds notation: 5:10
fractional notation: \\( \frac { 10 \div 5 } { 5 \div 5 } = \frac { 2 } { 1 } \\)

Explanation:

Step1: Identify the quantities for the ratio

We need the ratio of Indian dishes to Chinese dishes. There are 10 Indian dishes and 5 Chinese dishes.

Step2: Check word notation

Word notation for a ratio \(a\) to \(b\) is \(a:b\) or \(a\) to \(b\). For Indian (\(a = 10\)) and Chinese (\(b = 5\)), word notation can be \(10:5\) or \(10\) to \(5\).

Step3: Check odds notation

Odds notation is similar to word notation. It can be \(10:5\) or \(10\) to \(5\).

Step4: Check fractional notation

Fractional notation for the ratio of \(a\) to \(b\) is \(\frac{a}{b}\). Here \(a = 10\), \(b = 5\), so \(\frac{10\div5}{5\div5}=\frac{2}{1}\)

Answer:

Word notation: \(10\) to \(5\)
Odds notation: \(10:5\)
Fractional notation: \(\frac{10\div5}{5\div5}=\frac{2}{1}\) (corresponds to the third option)