- 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

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# Writing Ratios for Real World Situations

Ratios are used to compare quantities in quantitative terms in real world scenarios. A ratio can tell how big or small a quantity is as compared to another quantity.

Suppose there are 3 boys and 4 girls and we need to find the ratio of boys to girls. It is important in a ratio, to write the numbers in the correct order as stated in the question. i.e. boys to girls. Therefore, the ratio in correct order is 3:4 and not 4:3.

A ratio can also be used to compare three or more quantities at the same time. For example, the ratio 3:4:5:7 may represent the ratio of apples to oranges to melons to grapefruits.

A soccer team played 19 games and won 10. What is the ratio of the number of wins to the number of games played?

### Solution

**Step 1:**

This is an example of ratios in a real-world scenario. The number of games played = 19; The number of wins = 10.

**Step 2:**

Then the ratio of number of wins to the number of games played = 10:19

On the high school chess team there are 5 girls and 8 boys. What is the ratio of girls to boys on the chess team?

### Solution

**Step 1:**

This is another example of ratios in a real-world scenario. The number of girls in the chess team = 5; The number of boys in the chess team = 8.

**Step 2:**

Then the ratio of number of girls to the number of boys in the chess team is 5:8