Q&A for How to Calculate Ratios

1. You add the numbers of the ratio: 2 + 3 = 5 2. You divide the total cost ($175) by 5. 175 / 5 = 35 3. You multiply this number by each of the numbers of the ratio: 35 x 2 = 70, and 35 x 3 = 105. Solution: one paid $70, and the other one, $105. Both numbers added give you the total of 175 dollars.

The ratio of adults to seniors to children is 4:3:1. Add those three numbers, and divide the sum into 72. Multiply the quotient by 4, 3, and 1 to find the number sold of each kind of ticket.

You can treat a ratio as a fraction or a division problem: 1:4 = 1 / 4 = 1 ÷ 4. Solve this problem with long division (or a calculator) and you'll get the answer as a decimal: 0.25. To make this a percent, just move the decimal point two spaces to the right: 0.25 = 25%.

You can divide 600 by 8 (3 + 5 or 3:5). 600/8 = 75 x by the girl ratio of 3 = 225 and the remainder is the male total at 375.

The ratio is saying that, if we had a (5 + 6) = 11 ml mixture of milk and water, then there would be 5 ml milk and 6 ml water. This means any mixture with this ratio is 6 / 11 water. Therefore, in a 550 ml mixture, we will have 550 x (6 / 11) = 300 ml water.

Girls + boys (3+7) = total students in groups of 10. 30/10 = 3 and there are 3 girls of that amount then you just multiply Girls 3*3 = 9 Boys 7*3 = 21.

Add 5 + 3 = 8. Divide 8 into 672 = 84. Multiply 84 x 5 = 420, and multiply 84 x 3 = 252. 672 is then divided into a ratio of 420:252 (which is the same as 5:3).

You have two ratios, 2:3 and 110:x, where x equals Mark's share. Express the two ratios as fractions: 2/3 and 110/x. Set the two fractions equal to each other (because the two ratios are equal to each other) and cross-multiply to solve for x. By cross-multiplying, 2x = 330, so that x = 165.

The total of the two groups needs to be 33, but to obtain this the ratio needs to be constant throughout. The ratio's total starts at 11 (4+7, the total of the ratio 4:7), and in order for the grand total to be 33, you need to multiply 11 by 3 (and therefor the ratio that was added to make it). So, 11 x 3 = 33 and 4:7 x 3 is 12:21 (4 × 3 =12, 7 × 3 = 21). For verification, the ratio adds up to twenty and can still be divided to make the original ratio. 12 + 21 = 33.

Look at the place value of the last numeral to find the second number in the fraction. For example, 0.4 ends in the tenths place, so this means "4 / 10." The number 0.36 ends in the hundredths place, so you can write it as "36 / 100." For a number like 3.25, convert everything after the decimal point into a fraction, then convert the mixed number to an improper fraction .

Multiply the ratio by 2. 5:2 x 2 = 5 x 2 (10) and 2 x 2 (4), or 10:4. 10 red flowers to 4 yellow flowers.

You can find the answer pretty quickly by guessing and checking if the numbers work out. Or you can think of it like this: If half of the class were girls, there would be 14 girls. You can't change the total number of students, so to have more girls than boys you need to take out one boy for each girl you add. Adding two girls and taking away two boys leaves you with 16 girls and 12 boys.

Because c is expressed as a "1" in both ratios, you can use the other two numbers in the ratios to represent the other quantities. In other words, c:s:l is 1:6:10.

If the ratio is 2:3, that means there are 2 baseballs for every 3 golf balls. This means the number of baseballs = the number of golf balls x 2/3. Rearrange the equation to get (number of baseballs) x (3/2) = (number of golf balls). 30 x 3/2 = 45, so there are 45 golf balls.

12. Here's how you do it: add 11 + 5 + 3 = 19. Divide 19 into 76 = 4. Multiply 4 x 3 = 12. (There were 4 x 11 = 44 wins and 4 x 5 = 20 losses.)

That's a ratio of 1:12, because 6' is 12 times taller than 6".

Whenever you see a complicated word problem like this, try to turn it into an algebra equation. If their ages are a and b, then a = 7b/9. In six years, their ages will be a+6 and b+6, and the ratio will be (a+6) = 4(b+6)/5. Now you can follow the standard method of solving a system of equations .

Blue : Yellow = 2:5 . 2/5 = x/(x=6). After cross multiplying we'll have 5x = 12 = 2x like terms together, 5x-2x = 12. Therefore 3x = 12 and x = 4. To answer your question, then we will have 4L of blue and 10L (4+6) of yellow.

Express the given relationship as a proportion: 2x / 5y = 3/4. Cross-multiply: 8x = 15y. Divide both sides by 8y in order to arrive at x/y on one side. That's the ratio you're looking for: x / y = 15 / 8.

Set up a proportion, letting x = the number of grams of butter needed: (100 / 60) = (480 / x). Cross-multiply: 100x = (60)(480). Then x = [(60)(480)] ÷ 100 = 288 grams.

16 2/3 ml of one culture and 83 1/3 ml of the other.

The ratio is presented as if there were a total of 13 pie segments (2+4+7). Darren received 7 of those segments, or 7/13 of the pie.

Add all the pies. The ratio is 8 to the total number.

If 24 of the 52 books were fiction, 28 of them were non-fiction. So the ratio of non-fiction to fiction was 28 : 24. That reduces to 7:6.

Those two ratios are identical, which you can demonstrate by reducing each of them as far as possible.

No. You just have to keep the differences between the numbers proportionate to the increase of the former and latter numbers in the ratio.

To simplify 980:420, find a common multiple. If there's still a number that divides into the both of them, then continue with that. So in this case, it will be 7. Then you would finish off with the answer of 7:3.

The numerator is the first number, the denominator is the second number, and a colon goes in the middle, therefore the ratio is 2:10.

Let a, b, and c represent the lengths of the sides. First, abc = 3072 cm^3. The ratio a:b:c = 1:2:3 gives you two more equations; b = 2a, and c = 3a. Substitute b and c into the original volume equation so that only the single variable a remains. a(2a)(3a) = 3072 cm^3. Solve that by division by 6 and taking cube roots to get a = 8cm. This means b = 16cm and c = 24cm and you can check that this is a solution.

If 2/3 of the pupils like math, 1/3 do not. 1/3 of 120 is 40.