Chapter 3

Elementary Algebra · 278 exercises

Problem 51

In the following exercises, solve each number word problem. Find three consecutive odd integers whose sum is 171 .

6 step solution

Problem 52

In the following exercises, solve each number word problem. Find three consecutive odd integers whose sum is 291 .

6 step solution

Problem 53

In the following exercises, solve each number word problem. Find three consecutive even integers whose sum is -36 .

6 step solution

Problem 54

In the following exercises, solve each number word problem. Find three consecutive even integers whose sum is -84 .

6 step solution

Problem 55

In the following exercises, solve each number word problem. Find three consecutive odd integers whose sum is -213 .

6 step solution

Problem 56

In the following exercises, solve each number word problem. Find three consecutive odd integers whose sum is -267 .

6 step solution

Problem 57

In the following exercises, solve each number word problem. Sale Price Patty paid \(\$ 35\) for a purse on sale for \(\$ 10\) off the original price. What was the original price of the purse?

5 step solution

Problem 58

In the following exercises, solve each number word problem. Sale Price Travis bought a pair of boots on sale for \(\$ 25\) off the original price. He paid \(\$ 60\) for the boots. What was the original price of the boots?

4 step solution

Problem 59

In the following exercises, solve each number word problem. Buying in Bulk Minh spent \(\$ 6.25\) on five sticker books to give his nephews. Find the cost of each sticker book.

4 step solution

Problem 60

In the following exercises, solve each number word problem. Buying in Bulk Alicia bought a package of eight peaches for \(\$ 3.20 .\) Find the cost of each peach.

6 step solution

Problem 61

In the following exercises, solve each number word problem. Price before Sales Tax Tom paid \(\$ 1,166.40\) for a new refrigerator, including \(\$ 86.40\) tax. What was the price of the refrigerator?

3 step solution

Problem 62

In the following exercises, solve each number word problem. Price before Sales Tax Kenji paid \(\$ 2,279\) for a new living room set, including \(\$ 129\) tax. What was the price of the living room set?

3 step solution

Problem 65

What are consecutive odd integers? Name three consecutive odd integers between 50 and 60 .

4 step solution

Problem 66

What are consecutive even integers? Name three consecutive even integers between -50 and -40 .

4 step solution

Problem 67

In the following exercises, translate and solve. What number is \(45 \%\) of \(120 ?\)

4 step solution

Problem 68

In the following exercises, translate and solve. What number is \(65 \%\) of \(100 ?\)

4 step solution

Problem 69

In the following exercises, translate and solve. What number is \(24 \%\) of \(112 ?\)

5 step solution

Problem 70

In the following exercises, translate and solve. What number is \(36 \%\) of \(124 ?\)

5 step solution

Problem 71

In the following exercises, translate and solve. \(250 \%\) of 65 is what number?

3 step solution

Problem 72

In the following exercises, translate and solve. \(150 \%\) of 90 is what number?

5 step solution

Problem 73

In the following exercises, translate and solve. \(800 \%\) of 2250 is what number?

5 step solution

Problem 74

In the following exercises, translate and solve. \(600 \%\) of 1740 is what number?

5 step solution

Problem 75

In the following exercises, translate and solve. 28 is 25 % of what number?

4 step solution

Problem 76

In the following exercises, translate and solve. 36 is 25% of what number?

4 step solution

Problem 77

In the following exercises, translate and solve. 81 is 75% of what number?

3 step solution

Problem 78

In the following exercises, translate and solve. 93 is \(75 \%\) of what number?

5 step solution

Problem 79

In the following exercises, translate and solve. \(8.2 \%\) of what number is \(\$ 2.87 ?\)

3 step solution

Problem 80

In the following exercises, translate and solve. \(6.4 \%\) of what number is \(\$ 2.88 ?\)

5 step solution

Problem 81

In the following exercises, translate and solve. \(11.5 \%\) of what number is \(\$ 108.10 ?\)

3 step solution

Problem 82

In the following exercises, translate and solve. \(12.3 \%\) of what number is \(\$ 92.25 ?\)

4 step solution

Problem 83

In the following exercises, translate and solve. What percent of 260 is \(78 ?\)

6 step solution

Problem 84

In the following exercises, translate and solve. What percent of 215 is \(86 ?\)

4 step solution

Problem 85

In the following exercises, translate and solve. What percent of 1500 is \(540 ?\)

5 step solution

Problem 86

In the following exercises, translate and solve. What percent of 1800 is \(846 ?\)

4 step solution

Problem 87

In the following exercises, translate and solve. 30 is what percent of \(20 ?\)

6 step solution

Problem 88

In the following exercises, translate and solve. 50 is what percent of \(40 ?\)

4 step solution

Problem 89

In the following exercises, translate and solve. 840 is what percent of \(480 ?\)

6 step solution

Problem 90

In the following exercises, translate and solve. 790 is what percent of \(395 ?\)

6 step solution

Problem 91

Geneva treated her parents to dinner at their favorite restaurant. The bill was \(\$ 74.25 .\) Geneva wants to leave \(16 \%\) of the total bill as a tip. How much should the tip be?

3 step solution

Problem 94

Cherise deposits \(8 \%\) of each paycheck into her retirement account. Her last paycheck was \(\$ 1,485 .\) How much did Cherise deposit into her retirement account?

4 step solution

Problem 95

One serving of oatmeal has eight grams of fiber, which is \(33 \%\) of the recommended daily amount. What is the total recommended daily amount of fiber?

4 step solution

Problem 96

One serving of trail mix has 67 grams of carbohydrates, which is \(22 \%\) of the recommended daily amount. What is the total recommended daily amount of carbohydrates?

4 step solution

Problem 97

A bacon cheeseburger at a popular fast food restaurant contains 2070 milligrams (mg) of sodium, which is \(86 \%\) of the recommended daily amount. What is the total recommended daily amount of sodium?

4 step solution

Problem 98

A grilled chicken salad at a popular fast food restaurant contains 650 milligrams (mg) of sodium, which is \(27 \%\) of the \(\begin{array}{lll}\text { recommended } & \text { daily } & \text { amount. }\end{array}\) What is the total recommended daily amount of sodium?

5 step solution

Problem 99

After 3 months on a diet, Lisa had lost \(12 \%\) of her original weight. She lost 21 pounds. What was Lisa's original weight?

5 step solution

Problem 101

Yuki bought a dress on sale for \(\$ 72\). The sale price was \(60 \%\) of the original price. What was the original price of the dress?

5 step solution

Problem 102

Kim bought a pair of shoes on sale for \(\$ 40.50 .\) The sale price was \(45 \%\) of the original price. What was the original price of the shoes?

4 step solution

Problem 103

Tim left a \(\$ 9\) tip for a \(\$ 50\) restaurant bill. What percent tip did he leave?

5 step solution

Problem 104

Rashid left a \(\$ 15\) tip for a \(\$ 75\) restaurant bill. What percent tip did he leave?

6 step solution

Problem 105

The nutrition fact sheet at a fast food restaurant says the fish sandwich has 380 calories, and 171 calories are from fat. What percent of the total calories is from fat?

4 step solution

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