*This information is enough to set up one ratio comparing the number of hours worked to the amount of money made.The rest of the information that we have is that next week you will be working 31 hours, and you want to know how much money you'll make for that many hours.*

Once again, we have a real world problem that we can use proportions to solve.

First, we need to construct our proportion, so we need two ratios. This gives us two quantities to put together in a ratio. A proportion is an equation in which two ratios are set equal to one another, and a ratio is a fraction comparing two quantities.

The two quantities, the number of hours worked (x) and the amount paid (y), are related in such a way that when x changes, y changes proportionately.

In general, when two variables x and y are such that the ratio \(\frac\) remains a constant, we say that y is directly proportional to x.

Note: we could have also solved this by doing the divide first, like this: Part = 160 × (25 / 100) = 160 × 0.25 = 40 Either method works fine. Sam measures a stick and its shadow (in meters), and also the shadow of the tree, and this is what he gets: You have 12 buckets of stones but the ratio says 6.

## Grendel Monster Essay - How To Solve A Proportion Problem

Sam tried using a ladder, tape measure, ropes and various other things, but still couldn't work out how tall the tree was. That is OK, you simply have twice as many stones as the number in the ratio ...

The following diagrams show the formulas and graphs for directly proportional and inversely proportional problems. There are many situations in our daily lives that involve direct proportion.

For example, a worker may be paid according to the number of hours he worked.

Suppose you recently got a job, and you just received your first paycheck. Next week, you are scheduled to work 31 hours, and you are wondering how much your paycheck for that week will be.

The answer to this question can be found using proportions.

## Comments How To Solve A Proportion Problem

## Proportion Calculator Wyzant Resources

If either side of the proportion has a numerator and denominator that share a common factor with a variable, the calculator will report an erroneous solution. Example 1/2 = x/x will cause the calculator to report 0 as a solution, even though there is no solution.…

## Proportion word problems practice Khan Academy

Proportion word problems. Problem. Pamela drove her car 99999999 kilometers and used 9999 liters of fuel. She wants to know how many kilometers kkkleft parenthesis, k, right parenthesis she can drive with 12121212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.…

## Ratios and proportions and how to solve them - Mathplanet

Ratios and proportions and how to solve them. A proportion on the other hand is an equation that says that two ratios are equivalent. For instance if one package of cookie mix results in 20 cookies than that would be the same as to say that two packages will result in 40 cookies. A proportion is read as "x is to y as z is to w" If one number in.…

## Ratio Word Problems solutions, examples, videos

The main things to be aware about for ratio problems are Change the quantities to the same unit if necessary. Write the items in the ratio as a fraction. Make sure that you have the same items in the numerator and denominator. Ratio problems Two-term Ratios. Example 1 In a bag of red and green sweets, the ratio of red sweets to green sweets is 34.…

## How to Solve Ratio Word Problems -

In the known ratio, you know both of the numbers. In the unknown ratio, you only know one of the numbers. To solve for the unknown number, set up a proportion with the known ratio on one side and the unknown ratio on the other, cross multiply, and solve the resulting equation.…

## Proportions - Basic examples and word problems - YouTube

Learn how to solve proportions in these step by step examples. Check out all my math videos on…

## Proportion word problems - Basic mathematics

When solving proportion word problems, make sure it is set up correctly. Once you set up your proportion correctly, all you have to do if to replace values that you know and use an x or any other variable for the value you don't know Let us solve the second proportion. I already showed you how to solve a proportion.…

## Proportion Basics Wyzant Resources

Solving a Proportion 1. Find what number squared is equal to 25. Use our perfect squares chart for reference. 2. Change the problem to x = the square root of 25. The resulting number from either method will be equal to x and will be the answer.…