- Ratios and Unit Rates
- Home
- Writing Ratios Using Different Notations
- Writing Ratios for Real-World Situations
- Identifying Statements that Describe a Ratio
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Simplifying a Ratio of Decimals
- Finding a Unit Price
- Using Tables to Compare Ratios
- Computing Unit Prices to Find the Better Buy
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Solving a Word Problem on Proportions Using a Unit Rate
- Solving a One-Step Word Problem Using the Formula d = rt
- Function Tables with One-Step Rules
- Finding Missing Values in a Table of Equivalent Ratios
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Writing an Equation to Represent a Proportional Relationship

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Identifying Statements that Describe a Ratio

We should remember that certain words or phrases, such as **‘in’, ‘per’, ‘for every’, ‘out of’**, and **‘to’**, indicate **ratios**. We look for such words or phrases in word problems on ratios and reduce the statements to ratio notation and solve them accordingly.

For every 5 boys on a softball team there is 1 girl. What is the ratio of boys to girls?

### Solution

**Step 1:**

Here the words we look for to indicate a ratio are ‘for every’.

**Step 2:**

The given statement means there are 5 boys to 1 girl or the ratio of boys to girls is 5 to 1 or 5:1

At the carnival, for every 8 games, there are 9 rides. Find the ratio of rides to games.

### Solution

**Step 1:**

Here the words we look for to indicate a ratio are ‘for every’.

**Step 2:**

The given statement means there are 9 rides to 8 games or the ratio of rides to games is 9 to 8 or 9:8.

The cost of apples is $1.23 per apple. What is the ratio of dollars to apples?

### Solution

**Step 1:**

The word we look for to indicate a ratio is ‘per’.

**Step 2:**

The statement means that each apple costs $1.18. The ratio of dollars to apples is $1.18 to 1 apple or 1.18:1; $\frac{1.18}{1}$

Out of 5 children, 3 are girls. What is the ratio of girls to children?

### Solution

**Step 1:**

The words we look for to indicate a ratio here are ‘out of’.

**Step 2:**

The statement means that the ratio of girls to children is 3:5.

1 in 3 persons is single. what is the ratio of single persons to all people?

### Solution

**Step 1:**

The word we look for to indicate a ratio is ‘in’.

**Step 2:**

The given statement means that the ratio of single persons to all people is 1:3.