Other Ratios and Rates

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Questions 1 - 8
1

Sara has a weekly salary of . This week she sells six lamps and takes of those sales as her commission. What is the total amount of money she makes this week?

Explanation

First you find the total amount of sales that Sara made this week by selling six lamps at $200 a piece:

Sara gets a 6% commission on her sales, so next you find what 6% of 1,200 is:

So, Sara makes $72 from commission this week. However, we can't forget about the $500 weekly salary she also gets! We add her week's commission plus weekly salary to find the total amount she makes during this particular week:

2

Maggie works on an commission rate. After one great sale, she makes from commission alone. How much was the sale?

There is not enough information to answer the question.

Explanation

We can interpret the information given in the question as "150 is 8% of some number, or whatever amount Maggie's sale is." We can turn this sentence into algebra by calling "some number" x:

From here, we solve for x by isolating it on one side of the equation:

Maggie's sale was $1,875.

3

Waitress Kelly sold worth of food to her tables on Saturay night. If she made in tips that night, what was her overall tip percentage? Round your final answer to the nearest tenth.

Explanation

From the information given in the question, we can ask ourselves the following question- $120 is what percent of $670? We can turn this into algebra by calling "what number" x:

From here, we solve for x by isolating it on the right side of the equation:

Rounding to the nearest tenth gives us 17.9, so the final answer is 17.9%.

4

A soccer team wins out of their games. What is their win to loss ratio?

Explanation

Since the soccer team has won 8 out of 10 games, they have 8 winning games and 2 losing games.

Therefore, their win to loss ratio is:

This ratio can be reduced to:

5

The sales tax rate at your favorite clothing store is . You buy a shirt for and a hat for . What is the total amount, including tax, that you pay for your purchases?

Explanation

First, you want to figure out the total cost of your purchase by adding up the price of all the items you are buying:

Then, you find the tax you will pay on this total by taking 7% of $35:

You add the cost of your purchase plus the tax to find the total amount that you have to pay:

6

Joe takes home a commission of his total sales at the furniture store. Yesterday he sold one chair and two chairs. How much money did he make from commission yesterday?

Explanation

First you find the total amount of sales that Joe made yesterday by adding the cost of each item he sold:

Joe sold $20,000 worth of furniture yesterday. He makes 15% commision, so we find 15% of 20,000:

Joe made $3,000 from commission yesterday.

7

A diving team swims in competitions, and wins overall competitions. What is their lose to win ratio?

Explanation

A diving team that wins 6 competitions out of 10 will have 6 winning meets and 4 losing meets. Therefore, their lose to win ratio is:

This can be reduced to:

8

In a football game, a team won out of the games they played. What is the ratio of their wins to their total number of games played?

Explanation

The team has won 5 games.

The number of played games is 25.

Therefore, the ratio of winnings to the total is:

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