Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [ratio]

For questions concerning the ratio of a certain quantity to another.

In mathematics, a ratio is a relationship between two quantities indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, $8:6$, which is equivalent to the ratio $4:3$). The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, lengths, or spoonfuls. A ratio is written "$a$ to $b$" or $a:b$, or sometimes expressed arithmetically as a quotient of the two.

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how many cups of oj and kiwi juice would you require?

A drink recipe calls for $\frac{1}{4}$ cup of orange juice and $\frac{1}{6}$ cup of kiwi juice. If you have a total of $\frac{10}{3}$ cups of fruit, how many cups of oj and kiwi juice would you require? Hi everyone! I know that you need 2 cups of OJ…
kero
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Example 23 from Chapter 1, Hall and Knight's Higher Algebra.

I'm trying to solve the following,from Example 23 of Ratio chapter in Hall and Knight's Higher Algebra, 4th edition: $ \left\{ \begin{array}{l} 3x^2 - 2y^2 + 5z^2 = 0 \\ 7x^2 - 3y^2 - 15z^2 = 0\\ 5x - 4y + 7z = 6 \\ \end{array} \right. $ Solving…
rajivmedanki
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Calculate ratio of liquid measurements

I have a solid laundry detergent with measurement instructions advising a ratio of 4 litres (1 gallon) hot water to 15 ml (1 tbs) of detergent. If someone wanted a variable measurement, such as how much detergent one would use with 1 litre of water,…
David Metcalfe
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Problem related to ratio amd proportion

If expenditure cannot exceed the income for either of them find the condition under which we can ascertain who saves more? Eg: Incomes of A and B are in the ratio 4:5 and expenditures are in the ratio 3:4. If incomes are 400 and 500 and…
user223434
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How to keep the original ratio when changing the width?

Say I have a rectangle that is 390 x 200. I want to change the width to 400. What's the math to use so that the new height fits the original ratio?
alex
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Calculating Volume for the Perfect Compost

According to the internet, the optimal carbon/nitrogen ratio for hot composting is somewhere between 25:1 and 30:1. I have two resources; coffee and sawdust. Coffee has a C/N of 20:1 - a bit low on the carbon - and sawdust has a 325:1 ratio. How…
Scott Baker
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Calculating relative difference between two data sets which include negative numbers

I need to determine the relative difference between each element in vector 'A' and its corresponding element in 'B'. The vectors are: A =…
Laura
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Required Appropriate formulae for splitting values

Here's my split If single user 100% If double user 75% 25% If three user 60% 30% 10% How can calculate for 4th and subsequent users, Kindly give me formulae to calculate this
SA__
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Interpretation on the mean of a/b and the mean of b/a

I have a problem trying to figure out why the mean of a/b is not the same as the mean of b/a and if there is an interpretation to that. Basically, I am trying to compare the relative size of a to b for sample X to the relative size of a to b for…
X.Xue
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Get two numbers by given Ratio

How to solve this? with computation. At Sports Store, there were $380$ Basketballs and $263$ Baseballs. When an equal number of Basketballs and Baseballs were sold, the ratio of remaining Basketballs to remaining Baseballs became $8:5$. How many…
theo
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10 boys plan a camp and have sufficient food for 14 days, if 3 boys are ill and cannot go, howlong will the food now last?

Im working on ratios for GCSE, I've become comfortable increasing/decreasing ratios and sharing values based on ratios but Im not sure how to proceed with this type of question. Intially I thought along the lines of 10/14 to calculate the amount of…
iNoob
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Im confused when it comes to increasing/decreaseing a value by a ratio

Im currently doing GCSE maths and the current topic is ratios. Im comfortable sharing a value between ratios but im confused by questions like Increase £30 in the ratio of 5:2 My materials arent very clear and its frustrating me, could someone…
iNoob
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How to find a number between two numbers based on a proportion.

I'm making a game about colors, and recently ran into a simple problem. When the player collides with a block, the players speed increases based on how red the block is. I have a variable called red, which is between 0 and 1, a predefined variable…
Tessa Painter
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A question involving the concept of Ratio and Proportion.

Question- There are 2 piles of cement and sand. The ratio of cement to sand in the first pile is 2:1 and in the second 3:1. What quantity of mixture has to be taken from each pile so that the result may contain 2150g of cement and 850g of sand? My…
Yami Kanashi
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Looking to mix 2 things together to equal 100%

I need to find 100%. Let's say I am mixing sugar and flour. How many grams of sugar would 100g of flour need? I want the 100g of flour to make up 40% of the mixture. How many grams of sugar will I need for the remaining 60%?
Doomy
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