Understanding Ratios and Proportions

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Questions and Answers

1 10 = 60 6 36

True (A)

16 4 = 24 2 6

True (A)

13 39 3 = 26 78

True (A)

Match the following programming languages with their primary usage:

<p>Phyton = General Purpose Programming Javascript = Client-side scripting for web applications SQL = Database queries CSS = Styling web pages</p> Signup and view all the answers

4 11=132 5 60

<p>True (A)</p> Signup and view all the answers

5 18 = 27 28 42

<p>True (A)</p> Signup and view all the answers

6 15 6 = 19 57

<p>True (A)</p> Signup and view all the answers

7 27 = 58 52 104

<p>False (B)</p> Signup and view all the answers

Paul is making a plaster misture for his sculpture class. If he mixes 5 ounces of plaster with 4 ounces of water, what is the ratio of plaster to water?

<p>5/4</p> Signup and view all the answers

Erika's mom separates the laundry into sets. If she puts two sheets and three pillowcases into each set, what is the ratio of pillowcases to sheets?

<p>3/2</p> Signup and view all the answers

Floyd is setting tables for a sports banquet. For each place setting, he puts two forks to the left of the plate and a knife and a spoon to the right of the plate. What is the ratio of forks to knives?

<p>2/1</p> Signup and view all the answers

Jean is making pizza. She adds 4 slices of pepperoni and 3 olives to each slice of pizza. What is the ratio of pepperoni to olives?

<p>4/3</p> Signup and view all the answers

What is the ratio of olives to pepperoni?

<p>3/4</p> Signup and view all the answers

4 1 =36 9 5 35 2 = 7 81

<p>False (B)</p> Signup and view all the answers

7 4 = 12 16 3 = 9 3 12

<p>False (B)</p> Signup and view all the answers

5 125 = 300 12 5

<p>False (B)</p> Signup and view all the answers

6 = 36 5 32

<p>False (B)</p> Signup and view all the answers

7 = 84 8 32 11 = 132 5 25

<p>True (A)</p> Signup and view all the answers

18 = 18 4 8

<p>True (A)</p> Signup and view all the answers

Solve for the unknown varible. 10 = 36 6 9

<p>n = 60</p> Signup and view all the answers

Solve for the unknown varible. 4 = 24 13 X

<p>x= 78</p> Signup and view all the answers

Solve for the unknown varible. 11 = 132 18

<p>m = 60</p> Signup and view all the answers

Solve for the unknown varible. 18 =42 28

<p>n = 63</p> Signup and view all the answers

Solve for the unknown varible. X 15 = 57 19

<p>x = 45</p> Signup and view all the answers

Solve for the unknown variable. 15 = 58 52 104

<p>x = 58</p> Signup and view all the answers

George likes to sweeten his ice tea. When he is drinking a 20 ounce ice tea, he adds two teaspoons of sugar. If he makes a gallon if ice tea, how many teaspoons if sugar should he add (there are 128 ounces in a gallon)?

<p>12.8</p> Signup and view all the answers

Peter wants to make scrambled eggs for the customers at the diner. His recipe calls for 12 eggs and is enough for 5 peole. How many eggs will he need if he has to feed 75 customers?

<p>180</p> Signup and view all the answers

A person needs to drink 3 quarts of water for evey hour of running time. If a runner plans to complete a marathon in 5 hours, how many quarts of water should she drink during the race?

<p>15</p> Signup and view all the answers

Diane's car uses 5 gallons of gasoline to travel 125 miles. How far will Diane be able to travel on 20 gallons of gasoline?

<p>500</p> Signup and view all the answers

When Frank goes on a 4-day vacation with his family, he packs 4 t-shirts and 3 pairs of shorts. If he is going on an extended vacation for 12 days, how many t-shirts and shorts will he need to pack?

<p>12 t-shirts and 9 shorts</p> Signup and view all the answers

There were 90 customers at the restaurant on Friday, 60 of whom ordered the vegetarian meal. If there are 195 customers on Sunday, how many vegetarian meals would you expect to sell?

<p>130</p> Signup and view all the answers

40% of 50 is

<p>20</p> Signup and view all the answers

72 is 18% of

<p>400</p> Signup and view all the answers

14 is ___% of 35

<p>40</p> Signup and view all the answers

When calculating percent change, you are determining the percentage change from a starting point. If you want to determine the percent your height has changed, say from 65 inches to 70 inches, you want to know how much it has changed relative to your starting height of 65 inches. Simple subtraction tells us your height has changed 5 inches, but to calculate the percent change, you must set up an equation:

<p>Change / Starting Point = x / 100</p> Signup and view all the answers

Starting height = 65 inches Change in height = (70 in. - 65 in.) = 5 inches __= __ Step 1: Set up your equation:

<p>5 / 65 = x / 100</p> Signup and view all the answers

Flashcards

Ratio

A comparison of two numbers, often expressed as a fraction.

Proportion

An equation stating that two ratios are equal.

Cross-multiplying

A method to find the missing value in a proportion by multiplying diagonally.

Rate

A fixed ratio between two different units of measure.

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Percent

A ratio with a denominator of 100.

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Percent change

The percentage difference between a starting value and an ending value.

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Mark-up

The amount added to the cost of an item to get the selling price.

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Discount

The amount subtracted from the original price of an item.

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Simple interest

Interest calculated only on the initial principal amount.

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Compound interest

Interest calculated on both the principal and the accumulated interest.

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Principal

The initial amount of money.

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Rounding

Approximating a number to a specific place value.

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Rational number

Any number that can be expressed as a fraction.

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Irrational number

A number that cannot be expressed as a fraction.

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Scientific notation

A way to express very large or very small numbers.

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Order of operations

A set of rules defining the order in which calculations are performed.

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Commutative property

The order of operations does not matter.

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Associative property

Grouping of numbers does not matter.

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Distributive property

Multiplying a sum or difference by a single number.

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Identity property

A number that does not affect calculations.

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Negative number

A number less than zero.

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Additive inverse

The opposite of a number which, when added together, equals zero.

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Perfect square

A number obtained by squaring an integer.

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Study Notes

Ratios

  • A ratio compares two numbers.
  • Ratios can be expressed as fractions.
  • Ratios can compare quantities.

Examples

  • If eight people want equal shares of a pie, the ratio is 1 pie : 8 people.
  • Shaundra read 5 books, Carmen read 4; the ratio is 5:4. This can be expressed as 1 1/4.

Exercises

  • Multiple examples of ratios
  • Indicate if ratios are equal - True or False. Example 1/10 = 60/60 which is true
  • State the ratio
  • Questions on ratios related to the topics: mixing materials, separating laundry, setting tables.

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