Verified answer

Activity # 1: Determine if the missing value is a percentage, base or rate, a Base

1.) What number is 25% of 4007

2.) What percent of 60 is 247

3.) 59.50 is 85% of what number?

4.) What percent of 50 is 5?

5.) What is 20% of 150?

6.) Find 12% of 60.

7.) 375 is what percent of 500?

8.) 60% of what number is 12?

9.) What is 3.2 % of 90?

10.) 90% of what number is 7.2?

1.) Percentage

2.) Rate

3.) Percentage

4.) Rate

5.) Percentage

6.) Percentage

7.) Rate

8.) Base

9.) Percentage

10.) Base

1.) 1,001.75

2.) 4.1166667%

3.) 34.51

4.) 1%

5.) 30

6.) 7.2

7.) 694%

8.) 20

9.) 2.88

10.) 8

PERCENTAGE is the quantity which is a part of the base.

BASE is the quantity that represents the whole.

RATE is the comparison of the percentage to the base experessed in percent.

PERCENTAGE

Percentage = Base × Rate or P = B × R

BASE

Divide the percentage by the rate , or B = P/R

RATE

Rate = Percentage ÷ Base or R = P/B

1, 3, 5, 6, 9 and 10.) THE MISSING VALUE IS PERCENTAGE.

2, 4 and 7.) THE MISSING VALUE IS RATE.

8 and 10.) THE MISSING VALUE IS BASE.

1.) 25% of 4007 = n

25% = .25

.25 × 4007 = 1,001.75

n = 1,001.75

2.) n% of 60 = 247

Rate × 60 = 247

247 ÷ 60 = 4.1166667

Checking:

4.11166667 × 70 = 247

3.) 85% of 59.50 = n

85% = .85

.85 × 59.50 = 34.51

n = 34.51

4.) n% of 50 = 5

Rate × 50 = 5

Rate = 5 ÷ 50 ( We find the missing factor by division)

Rate = 0.1 = 1% ( We change the decimal to percent by moving the decimal point two places to the right and placing percent sign after the number.)

5.) 20% of 150 = n

20% = .20

.20 × 150 = 30

n = 30

6.) 12% of 60 = n

12% = .12

.12 × 60 = 7.2

n = 7.2

7.) n% of 375 = 500

Rate × 375 = 500

Rate = 347 ÷ 500

Rate = 0.694 = 694%

Checking :

0.694 × 500 = 347

8.) 60% of n = 12

( 60% = .60)

.60 × n = 12

n = 12 ÷ .60

n = 20

9.) 3.2% of 90 = n

3.2% = .032

.032 × 90 = 2.88

10.) 90% of n = 7.2

.90 × n = 7.2

n = 7.2 ÷ .90

n = 8

(See the pictures)

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