Question

name renia - 6th - 4.4b solving percent problems practice - score

1. find the percent of the number

20% of 60
answer:

1. find the percent of the number

50% of 70
answer:

1. find the percent of the number

10% of 90
answer:

1. find the percent of the number

25% of 50
answer:

1. find the percent of the number

30% of 70
answer:

1. find the percent of the number

140% of 60
answer:

1. a spider monkey is 55 in. long.

the tail of the spider monkey is
64% of its total length. what is
the length of the tail?
answer:

1. find the whole:

20% of what number is 18?
answer:

1. find the whole:

75% of what number is 27?
answer:

1. find the whole:

85% of what number is 17?
answer:

1. find the whole:

160% of what number is 32?
answer:

1. find the whole:

175% of what number is 42?
answer:

1. complete the table

fraction\tdecimal\tpercent
2 4/9\ta.\tb.

1. complete the table

fraction\tdecimal\tpercent
a.\t3.5\tb.

Explanation:

Step1: Solve 20% of 60

To find a percent of a number, convert the percent to a decimal (by dividing by 100) and multiply by the number.
20% as a decimal is \( 0.20 \).
\( 0.20 \times 60 = 12 \).

Step2: Solve 50% of 70

50% as a decimal is \( 0.50 \).
\( 0.50 \times 70 = 35 \).

Step3: Solve 10% of 90

10% as a decimal is \( 0.10 \).
\( 0.10 \times 90 = 9 \).

Step4: Solve 25% of 50

25% as a decimal is \( 0.25 \).
\( 0.25 \times 50 = 12.5 \).

Step5: Solve 30% of 70

30% as a decimal is \( 0.30 \).
\( 0.30 \times 70 = 21 \).

Step6: Solve 140% of 60

140% as a decimal is \( 1.40 \).
\( 1.40 \times 60 = 84 \).

Step7: Solve spider monkey tail length

Total length = 55 in, tail is 64% of total.
64% as a decimal is \( 0.64 \).
\( 0.64 \times 55 = 35.2 \) inches.

Step8: Solve 20% of what number is 18

Let the number be \( x \). \( 0.20x = 18 \).
Divide both sides by 0.20: \( x = \frac{18}{0.20} = 90 \).

Step9: Solve 75% of what number is 27

Let the number be \( x \). \( 0.75x = 27 \).
\( x = \frac{27}{0.75} = 36 \).

Step10: Solve 85% of what number is 17

Let the number be \( x \). \( 0.85x = 17 \).
\( x = \frac{17}{0.85} = 20 \).

Step11: Solve 160% of what number is 32

Let the number be \( x \). \( 1.60x = 32 \).
\( x = \frac{32}{1.60} = 20 \).

Step12: Solve 175% of what number is 42

Let the number be \( x \). \( 1.75x = 42 \).
\( x = \frac{42}{1.75} = 24 \).

Step13: Complete table for \( 2\frac{4}{9} \)

• Fraction: \( 2\frac{4}{9} = \frac{22}{9} \approx 2.222... \) (decimal)
• Percent: \( 2.222... \times 100 \approx 222.22\% \) (Note: Original table has unclear writing, but \( 2\frac{4}{9} \approx 2.222 \), so decimal \( \approx 2.22 \), percent \( \approx 222.22\% \))

Step14: Complete table for decimal 3.5

• Fraction: \( 3.5 = \frac{7}{2} \) (or \( 3\frac{1}{2} \))
• Percent: \( 3.5 \times 100 = 350\% \)

Answer:

1. 12
2. 35
3. 9
4. 12.5
5. 21
6. 84
7. 35.2 inches
8. 90
9. 36
10. 20
11. 20
12. 24
13. a. \( \approx 2.22 \) (or \( \frac{22}{9} \approx 2.222 \)) ; b. \( \approx 222.22\% \)
14. a. \( \frac{7}{2} \) (or \( 3\frac{1}{2} \)) ; b. 350%