Multiple Choice
Use an equation to solve the problem.
1.
What is 57% of 11? (1 point)
11 = 0.57 • n; 19.3
n = 57 • 11; 627
n = 0.57 • 11; 6.27
11 = 57 • n; 0.19
2.
224 is 25% of what number? (1 point)
224 • 0.25 = w; 560
224 = 0.25 • w; 896
224 • 0.25 = w; 56
224 = 0.25 • w; 90
3.
Explain how to find 45% of a number.
(1 point)
Multiply the number by 0.45.
Divide the number by 4.5.
Divide the number by 45.
Multiply the number by 4.5.
Find the percent of increase. Round to the nearest tenth of a percent where necessary.
4.
32 to 76 (1 point)
137.5%
42.1%
57.9%
2.4%
Find the percent of decrease. Round your answer to the nearest tenth of a percent where necessary.
5.
57 to 19 (1 point)
38%
66.7%
200%
20%
Find the percent of markup. Round to the nearest whole percent.
6.
Store's Cost: $136.50
Selling Price: $184.70 (1 point)
48%
26%
14%
35%
Find the sale price. Round to the nearest cent.
7.
Regular Price $57.63
Percent of Discount: 10% (1 point)
$63.39
$5.76
$51.87
$57.53
Find the regular price. Round to the nearest cent.
8.
Sale Price: $56.78
Percent Discount : 40% (1 point)
$141.95
$96.78
$79.49
$94.63
9.
Find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years. (1 point)
$540.00
$5,400.00
$54.00
$13.50
10.
When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple interest in 3 years. How much money was originally invested? If necessary, round to the nearest cent.
(1 point)
$82,361.49
$9,151.28
$20.22
$91,512.77
1.)c
2.)b
3.)a
4.)a
5.)b
6.)d
7.)c
8.)d
9.)c
10.)b
Wrong: 5
The rest are right! :-)
Is she right ?
To solve these multiple-choice problems, you can use the given information to plug into the appropriate equation and solve for the unknown variable. Let's explain how to solve each problem.
1. What is 57% of 11?
The equation to use is n = 0.57 • 11.
To solve this equation, multiply 0.57 by 11:
n = 0.57 • 11 = 6.27.
So, 57% of 11 is 6.27.
2. 224 is 25% of what number?
The equation to use is 224 = 0.25 • w.
To solve this equation, divide 224 by 0.25:
224 ÷ 0.25 = 896.
So, 224 is 25% of 896.
3. Explain how to find 45% of a number.
To find 45% of a number, you multiply the number by 0.45.
For example, if you want to find 45% of 100, you multiply 100 by 0.45:
100 • 0.45 = 45.
So, 45% of 100 is 45.
4. Find the percent of increase from 32 to 76.
To find the percent increase, you use the formula:
Percent Increase = ((New Value - Original Value) / Original Value) * 100.
For this problem, it is ((76 - 32) / 32) * 100 ≈ 137.5%.
So, the percent of increase is approximately 137.5%
5. Find the percent of decrease from 57 to 19.
To find the percent decrease, you use the formula:
Percent Decrease = ((Original Value - New Value) / Original Value) * 100.
For this problem, it is ((57 - 19) / 57) * 100 ≈ 66.7%.
So, the percent of decrease is approximately 66.7%.
6. Find the percent of markup from a store's cost of $136.50 to a selling price of $184.70.
To find the percent of markup, you use the formula:
Percent Markup = ((Selling Price - Cost) / Cost) * 100.
For this problem, it is ((184.70 - 136.50) / 136.50) * 100 ≈ 35%.
So, the percent of markup is approximately 35%.
7. Find the sale price with a regular price of $57.63 and a 10% discount.
The equation to use is Sale Price = Regular Price - (Regular Price * Percent of Discount)
For this problem, it is $57.63 - ($57.63 * 0.10) ≈ $51.87.
So, the sale price is approximately $51.87.
8. Find the regular price with a sale price of $56.78 and a 40% discount.
The equation to use is Sale Price = Regular Price - (Regular Price * Percent Discount).
For this problem, it is $56.78 = Regular Price - (Regular Price * 0.40).
Rearranging the equation gives: (1 - 0.40) * Regular Price = $56.78.
Simplifying gives: 0.60 * Regular Price = $56.78.
Dividing both sides by 0.60 gives: Regular Price = $94.63.
So, the regular price is $94.63.
9. Find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years.
The formula to use is: Interest = Principal * (Rate/100) * Time.
For this problem, it is $600 * (4.5/100) * 2 = $54.00.
So, the interest earned is $54.00.
10. Find the originally invested amount when an account earned $1,290.33 of simple interest in 3 years at an annual interest rate of 4.7%.
The formula to use is: Interest = Principal * (Rate/100) * Time.
For this problem, we need to solve for the Principal, so we rearrange the formula:
Principal = Interest / ((Rate/100) * Time).
Substituting the given values gives: Principal = $1,290.33 / ((4.7/100) * 3) ≈ $9,151.28.
So, the originally invested amount is approximately $9,151.28.
So, the correct answers are:
1.) c
2.) b
3.) a
4.) a
5.) b
6.) d
7.) c
8.) d
9.) c
10.) b