MATHEMATICS HIGH SCHOOL

Caroline, Colin & Sarah share some money. Caroline gets 1 /9 of the money. Colin and Sarah share the rest in the ratio 1:3. What proportion does Colin get?

Answers

Answer 1

Answer:

Answer:

Colin gets $(2)/(9)$ of the total money

Step-by-step explanation:

If we let the total amount be "90" (or any multiple of 9), then the solution gets much easy.

Let total money be 90.

Caroline gets 1/9, so that is:

1/9 * 90 = 10

Remaining is 90 - 10 = 80

This 80 is divided in the ratio 1:3, that means Colin gets 1 part and Sarah gets 3 part. That is 1 + 3 = 4 parts altogether.

80 divided in 4 parts is 80/4 = 20 each part.

Colin gets 1 part, that is 1 * 20 = 20

Colin gets 20 OUT OF 90 (total initial).

What proportion is that? We simply divide and reduce!!

20/90 = 2/9

Colin gets $(2)/(9)$ of the total money

Answer 2

Answer:

The proportion that Colin's get from the share is 2 / 9 x

What is proportion?

Proportion says that two ratios (or fractions) are equal.

Therefore,

let the total money they share = x

Hence,

Caroline money = 1 / 9 x

Colin and Sarah share the rest in the ratio 1:3.

Therefore,

Collin share = 1 / 4 × (x - 1 / 9 x) = 1 / 4 × 9x - x/ 9 = 1 / 4 × 8 / 9 x

Collin's share = 1 / 4 × 8 / 9 x = 8 / 36 x = 2 / 9 x

learn more on proportion here: brainly.com/question/14213714

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You but a container of cat litter for 12.25 and a bag of cat food for x dial let's. The total is 19.08 witch includes 6% tax sales. Write and solve an equation to find the cost of the cat food.

Answers

Answer:

The price of cat food is 5.75 dial

Step-by-step explanation:

Given as :

The price of container of litter = 12.25 dial

The price of cat food = x dial

The total price of items = 19.08 dial including 6% sales tax

So, The total price of item excluding sales tax is A

Or, A + 6% of A = 19.08

So, 1.06 × A = 19.08

Or, A = $(19.08)/(1.06)$

∴ A = 18 dial

Now, The price of cat food = Total price of item excluding tax - price of container of litter

Or, The price of cat food = 18 dial - 12.25 dial

∴ The price of cat food = 5.75 dial

Hence The price of cat food is 5.75 dial Answer

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Answers

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