Here's an example problem and solution: A dragon has grams of gold and 10 kilograms of silver. What is the ratio of gold to silver in the dragon's hoard? Grams and kilograms are not the same unit, so we'll need to convert. The dragon has grams of gold and 10, grams of silver.
Write your units in the problem. In ratio word problems, it's much easier to catch mistakes if you write the units after each value. Remember, the same unit on the top and bottom of a fraction cancels out.
After you cancel out as much as you can, you should end up with the right units for your answer. Example problem: If you have six boxes, and in every three boxes there are nine marbles, how many marbles do you have?
Both numbers added give you the total of dollars. Not Helpful Helpful A small theater sold 72 tickets to a play.
The ratio of adults to children is The ratio of adults to seniors is How do I determine how much of each were sold? The ratio of adults to seniors to children is Add those three numbers, and divide the sum into Multiply the quotient by 4, 3, and 1 to find the number sold of each kind of ticket. Solve this problem with long division or a calculator and you'll get the answer as a decimal: 0. To make this a percent, just move the decimal point two spaces to the right: 0. I am having trouble in working out this question: There are learners in a school.
The ratio from girls to boys is How many girls are there in the school? I'm having trouble with this kind of problem: "In mL of a mixture, the ratio of milk and water is What is the quantity of water in the mixture? How do I solve this ratio: 30 girls and boys have planned for a picnic.
There is a ratio of 3 girls to 7 boys. How many boys are there? Not Helpful 39 Helpful I'm having trouble with this one: Jenny and Mark share some money in the ratio Jenny's share is How much is Mark's share? You have two ratios, and x, where x equals Mark's share. Set the two fractions equal to each other because the two ratios are equal to each other and cross-multiply to solve for x.
How do you solve this problem: Divide 33 photos into 2 groups so the ratio is 4 to 7? The total of the two groups needs to be 33, but to obtain this the ratio needs to be constant throughout. For verification, the ratio adds up to twenty and can still be divided to make the original ratio. Not Helpful 71 Helpful Look at the place value of the last numeral to find the second number in the fraction.
For example, 0. Not Helpful 50 Helpful Include your email address to get a message when this question is answered. By using this service, some information may be shared with YouTube. Related wikiHows How to. How to. About This Article. Co-authored by:. Grace Imson, MA. Co-authors: Updated: November 1, Categories: Mathematics.
Article Summary X To calculate a ratio, start by determining which 2 quantities are being compared to each other. Italiano: Calcolare un Rapporto Matematico. Nederlands: Rekenen met verhoudingen. Bahasa Indonesia: Menghitung Perbandingan.
Thanks to all authors for creating a page that has been read 2,, times. How to Calculate a Ratio of a Number in Steps To calculate a ratio of a number, follow these 3 steps: Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1. Multiply each part of the original ratio by the value of each part calculated in step 2. We follow the 3 steps above to work out the ratio.
To check a ratio calculation, add the final values to see if the total is equal to the original amount. If the amounts shared can also be simplified to make the ratio given, the calculation is correct. Now try our lesson on Sharing in a Ratio Between 3 People where we learn how to extend our steps for calculating ratio to examples where we share an amount between 3 people.
Sharing in a Ratio Between 3 People. Ratios are used in maps to provide scale. Usually expressed as , or similar, this tells you that for every 1 unit on the map, the real distance is 10, units. If you measure 1 cm on the map, the real distance would be 10, cm or m. Ratios are also used in drawings, such as architectural designs, to show perspective and relative size on a smaller scale, and in models.
For example, a model car might have a ratio of — so 1 cm on the model would be 20 cm on the actual car. Understanding how to work out ratios is an important skill and can be particularly useful when applying for jobs where a good understanding of mathematics is required.
It is a good idea to revise skills like this before taking numerical reasoning or other math-based aptitude tests. In a bag of 20 sweets, there are 8 blue sweets and 12 pink sweets. What is the ratio of blue to pink sweets? Remember, all ratios should be simplified where possible, so divide both the antecedent and consequent by the highest common factor — in this case, the highest number that goes into both 8 and 12 is 4.
Firstly, we need to ensure that the units we are using are the same. Ratios need to presented with no denomination, so both the antecedent and the consequent must be shown as either centimeters or meters.
The highest common factor in this ratio is 3. Both numbers can be divided by three with none remaining, so the simplified ratio would be:. To easily work with ratios, whole numbers are necessary. The easiest way to make this ratio include whole numbers is to multiply both sides by the same number — in this case, 2 makes sense.
This might not look like a problem where ratios could help but considering this problem by expressing the given numbers as a ratio will help you to solve the problem. To keep the proportions correct, we need to multiply both parts of the ratio by the required number — in this case, Andrew and James have sweets and they need to share them in the ratio How many sweets does each of them receive?
Sharing these sweets in the given ratio means we need to find out exactly how many each person will get. For every 5 sweets that Andrew gets, James will get 3. The sweet company likes to put uneven numbers of sweets in their bags. They are currently creating a bag of blue and pink sweets in the ratio To work this one out, it is necessary to divide the number of blue sweets by the ratio, to find the common denominator. They can be used as equivalent ratios to help you scale up numbers — for example, quantities of ingredients for baking a cake.
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