# If 5t:9 = 1:2, find t.

## Question:

If {eq}\, 5t:9 = 1:2 \, {/eq}, find {eq}t {/eq}.

## Ratio

A ratio is a way of expressing quantities in which we try to convey how much of one quantity contains another. A ratio can be converted to a fraction and then calculations on such ratios can be performed easily.

## Answer and Explanation:

The value of **t** is found as follows.

$$\begin{align} &5t:9 = 1:2\\ &\frac{5t}{9}=\frac{1}{2}&&&&\left [ a:b=\frac{a}{b} \right ]\\ &10t=9\\ &t=\frac{10}{9}\\ \end{align} $$

#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question#### Search Answers

#### Learn more about this topic:

Get access to this video and our entire Q&A library

#### Related to this Question

The ratio of the side lengths of a triangle is...

A 6 ft tall man casts a 10 ft shadow next to his 4...

If UARE, Inc. has sales of 3700, total assets of...

Eric's gas tank is 16 full. After he buys 11...

The female to male ratio of a particular...

Many financial ratios can be utilized to analyze...

Explain the difference between a ratio and a...

In order to estimate the height h of a tall pine...

What are the names of the major ratios useful in...

In ratio analysis, the ratios are never expressed...

It takes 12 men 5 days to complete a job....

A mixture of 5% disinfectant solution is to be...

#### Explore our homework questions and answers library

Browse
by subject