How To Figure Out Ratios In Math

How To Figure Out Ratios In Math – A ratio is a way of expressing one thing in comparison to another, if x:y is 1:2, then it means that y is twice the size of x. There are 8 skills involving proportions that you need to learn.

Alternatively, we can write each part of dfrac}} as the sum of the counters in the package as blue.

How To Figure Out Ratios In Math

How To Figure Out Ratios In Math

All we do is divide each number by the greatest common factor of all three numbers, which is 3.

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Example: Meringue is mixed with egg whites and 1 cup of sugar in a ratio of text color: text color. How many cups of sugar are needed if a cup of egg white/textured color is used in the mixture? We know that textcolor = textcolor times textcolor, so we need to multiply the ratio by textcolor.

How To Figure Out Ratios In Math

Example: Adam has some apples and oranges in his bag. The ratio of oranges to fruits in his basket is textcolor:textcolor.

Every piece of textcolor fruit is orange, so textcolor – textcolor = textcolor is the apple of every textcolor fruit piece. For every text color orange there is a text color apple

How To Figure Out Ratios In Math

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We need to increase the ratio textcolor:textcolor so that the left side is equal to the text color. So we multiply the ratio by the text color.

Example: Aaron, Kim, and Paul split the text color in the ratio textcolor:textcolor:textcolor. How much money will Aaron earn?

How To Figure Out Ratios In Math

Step 2: Divide the total amount by the total number of parts in the ratio, which gives the value of part 1.

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You can sometimes enter the difference between two parts of a ratio instead of the total.

How To Figure Out Ratios In Math

Example: Josh, James, and John share sweets in the ratio textcolor:textcolor:textcolor. Josh has less text color sweetness than John. How many sweets does James have?

textcolor , text = text – text = textcolor , text – textcolor , text = 3 text.

How To Figure Out Ratios In Math

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Example: Billy and Claire share marbles in the ratio textcolor:textcolor. Billy gives Claire the text color marbles, now the ratio is 1:1. How many sweets did each have initially?

To reduce a ratio to the form 1:n or n:1, all you have to do is divide the whole ratio by smaller numbers.

How To Figure Out Ratios In Math

First, we need to multiply all parts of the ratio until we have only whole numbers left before simplifying.

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If the ratio has different units, we have to convert one unit to another and then simplify the ratio to its simplest form.

How To Figure Out Ratios In Math

Question 1: The ratio of the number of brown-haired students to the number of brown-haired students in a school is 4:5.

A) To work out the fractions of fair hair students, we need to add proportional fractions. The sum of the ratios is 4 + 5 = 9. This means we are dealing with position 9. Since the proportion of gold students is 4, this means that the proportion of gold students is dfrac.

How To Figure Out Ratios In Math

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B) We know from the previous question that dfrac students have brown hair. Therefore, the fraction of students with brown hair is dfrac. If the school has a total of 450 students, we need to find what dfrac 450 is:

In total, this ratio has 7 parts (2 + 5 = 7). If 7 shares are worth 35, then 1 share is worth 5 (35 div 7 = 5).

How To Figure Out Ratios In Math

Since 1 share is worth 5, 2 shares will be worth 10 (2 = 5 = 10).

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Since 1 share is worth 5, 5 shares will be worth 25 (5 = 5 = 25).

How To Figure Out Ratios In Math

Question 3: Lucy is tiling her bathroom. He buys white and blue tiles in the ratio of 13:2. Blue tiles cost £2.80 and white tiles £2.35. If she buys 16 blue tiles, how much does Lucy spend on tiles in total?

To calculate Lucy’s total cost of tiles, we need to find how many white tiles she buys. To count the white tiles, we need to count the total number of tiles it takes.

How To Figure Out Ratios In Math

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The ratio is 2 parts blue and 13 parts white. If Lucy takes 16 blue tiles, that’s 8 times the number of blue tiles in the ratio (16div2=8).

If the number of blue tiles he takes is 8 times the number of blue tiles given in proportion to the number of blue tiles, then the number of white tiles he takes must also be 8 times the number of white tiles in proportion. So, the number of white tiles he takes is:

How To Figure Out Ratios In Math

Now that we know how many tiles of each color she bought, we can calculate the total cost of the tiles.

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Question 4: Steve receives a payment of £200 per month from his parents. 20% of this money is spent on his football magazine subscription and the rest is spent on football stickers, sweets and soft drinks in the ratio of 5:2:1. How much does Steve spend on football stickers?

How To Figure Out Ratios In Math

The first thing we need to do is deduct the 20% spent on magazine subscriptions so we can figure out how much of Steve’s allowance is left. 20 % of £200 can be calculated as follows:

So Steve is left with £160, which he spends in the ratio of 5:2:1 on sweets, football stickers and fizzy drinks.

How To Figure Out Ratios In Math

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Adding the ratio, we know that we are dealing with the eighth. (5 + 2 + 1 = 8 so we know we are dealing in eighth place). From the ratio we know that the portion he spends on football stickers is 5, which means Steve spends on football stickers from the rest of the allocation.

Question 5: Alec, Jon and Kate kept track of the number of books they read in the past year. John read twice as many books as Kate, but Alec read four times as many books as John.

How To Figure Out Ratios In Math

A) Write the ratio of the number of books Alex has read to the number of books Kate has read to the number of books John has read.

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B) Ali read 63 more books than Kate last year. Find out how many books Alex, Jon and Kate read last year.

How To Figure Out Ratios In Math

A) We are told that John reads twice as many books as Kate. As a ratio, it can be written as 2:1.

We are also told that Alec reads 4 times more books than John. As a ratio, it can be written as 4:1.

How To Figure Out Ratios In Math

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Now the problem is that in the Jon:Kate ratio, Jon’s share is 2, while in the Elk:Jon ratio, Jon’s share is 1. By doubling the Alec:Jon ratio from 4:1 to 8:2, Jon’s share is now equal in both ratios.

B) We are told that Alex read 63 more books than Kate last year and we know from the previous part of the question that the ratio of Alex: Kate reading is 8:1. In this ratio, the ratio is 8 parts to 1 part, so we can conclude that the difference between the proportional parts is 7 parts (8 – 1 = 7).

How To Figure Out Ratios In Math

If the difference in the ratio is 7 parts and the number of books read is 63, then we can calculate the number of books read that represent 1 part of the ratio:

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If one part of the ratio represents 7 books read, we can now calculate the number of books read by three people. By adding the ratio, we know that the total number of shares is 11 (8 + 2 + 1 = 11), so the total number of books read can be calculated as follows:

How To Figure Out Ratios In Math

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How To Figure Out Ratios In Math

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How To Figure Out Ratios In Math

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