Ratios Practice

Which of the following terms is best described as “a comparison of two numbers?”

• variable

• coefficient

• ratio

• quotient

Every morning, Mr. Martens makes tasty coffee.

The tasty drink has two ingredients: milk and coffee.

One part of milk to two parts of coffee makes the coffee very tasty.

How many total parts are there in his tasty, morning coffee?

• 1

• 2

• 3

• 4

Answer explanation

Just count all of the parts Mr. Martens uses to find out how many parts there are altogether.

Mr. Martens' tasty coffee is made with milk and coffee. One part is milk and two parts are coffee.

What percentage of the tasty coffee is milk?

• 100%

• 33%

• 66%

• 1%

Answer explanation

One milk plus two coffee is three parts. One out of three is milk, or one over three, or one divided by three is milk. So, one divided by three is 33 percent.

Mr. Martens' tasty coffee is made with milk and coffee. One part is milk and two parts are coffee.

If he makes it stronger by doubling the coffee, what percentage is the milk?

• 10%

• 20%

• 30%

• 40%

Answer explanation

One milk plus two coffee is three parts. If you double the coffee, then it is one milk to four coffee. There is now five parts.

One out of five is milk, or one over five, or one divided by five is milk. So, one divided by five is 20 percent.

Each breakfast set in a restaurant comes with the same items. What is the ratio of eggs to slices of toast?

(a)  

Answer explanation

This breakfast four kinds of food in ten parts. If we look at only two kinds of food, then we can see that three parts are eggs and two parts are toast.

Each breakfast set in a restaurant comes with the same items. What is the ratio of slices of toast to eggs?

(a)  

Answer explanation

This breakfast four kinds of food in ten parts. If we look at only two kinds of food, then we can see that two parts are slices of toast and three parts are eggs.

Each breakfast set in a restaurant comes with the same items. What is the ratio of strawberries to melon slices?

(a)  

Answer explanation

This breakfast four kinds of food in ten parts. If we look at only two kinds of food, then we can see that four parts are strawberries and one part is melon.

Each breakfast set in a restaurant comes with the same items. What is the ratio of strawberries to eggs?

(a)  

Answer explanation

This breakfast four kinds of food in ten parts. If we look at only two kinds of food, then we can see that four parts are strawberries and three parts are eggs.

Draw a model to show your understanding.

The ratio of Mr. Martens' weight to his mouse's weight is 3:2.

Answer explanation

You should have drawn something like the image shown. Three parts represents Mr. Martens and the two parts represent his mouse.

The ratio of Mr. Martens' weight to his mouse's weight is 3:2. Together they weigh 150 kg.

How much do Mr. Martens and his mouse each weigh?

• Mr. Martens weighs 3 kg and his mouse weighs 2 kg.

• Mr. Martens weighs 100 kg and his mouse weighs 80 kg.

• Mr. Martens weighs 90 kg and his mouse weighs 60.

• Mr. Martens weighs 80 kg and his mouse weighs 40kg.

Answer explanation

150 ÷ 5 = 30; 30× 3 = 90; 30× 2 = 60. Mr. Martens weighs 90 kg and his mouse weighs 60 kg.