Go through the Spectrum Math Grade 6 Answer Key Chapter 3 Lesson 3.9 Finding Percents and get the proper assistance needed during your homework.
Spectrum Math Grade 6 Chapter 3 Lesson 3.9 Finding Percents Answers Key
Use these methods to find the percent one number is of another number.
50 is what percent of 80?
50 = n% × 80
50 = \(\frac{n}{100}\) × 80
50 = \(\frac{80 n}{100}\)
5000 = 80n
5000 ÷ 80 = 80n ÷ 80
62.5 = n
50 is 62.5% of 80.
\(\frac{1}{4}\) is what percent of \(\frac{5}{8}\)?
\(\frac{1}{4}\) = \(\frac{n}{100}\) × \(\frac{5}{8}\) \(\frac{1}{4}\) = \(\frac{5 n}{800}\)
800 = 20n
800 ÷ 20 = 20n ÷ 20
40 = n
\(\frac{1}{4}\) is 40% of \(\frac{5}{8}\).
Complete the following.
Question 1.
a. 12 is ____ % of 20.
Answer:
12 is 60 % of 20.
Explanation:
Let the % be n.
=>12 = \(\frac{n}{100}\) × 20
=> 12 ÷ 20 = \(\frac{n}{100}\)
=> 3 ÷ 5 = \(\frac{n}{100}\)
=> \(\frac{3}{5}\) = \(\frac{n}{100}\)
=> \(\frac{3}{5}\) × 100 = n
=> \(\frac{3}{1}\) × 20 = n
=> \(\frac{60}{1}\) = n
=> 60 = n.
b. 0.9 is ____% of 4.5.
Answer:
0.9 is 0.2% of 4.5.
Explanation:
Let the % be n.
=>0.9 = \(\frac{n}{100}\) × 4.5
=> 0.9 ÷ 4.5 = \(\frac{n}{100}\)
=> 0.1 ÷ 0.5 = \(\frac{n}{100}\)
=> \(\frac{0.1}{0.5}\) = \(\frac{n}{100}\)
=> \(\frac{0.1}{0.5}\) × 100 = n
=> \(\frac{0.1}{0.1}\) × 20 = n
=> \(\frac{2}{0.1}\) = n
=> 0.2 = n.
Question 2.
a. 15 is _____% of 100.
Answer:
15 is 15% of 100.
Explanation:
Let the % be n.
=>15 = \(\frac{n}{100}\) × 100
=> 15 ÷ 100 = \(\frac{n}{100}\)
=> 3 ÷ 20 = \(\frac{n}{100}\)
=> \(\frac{3}{20}\) = \(\frac{n}{100}\)
=> \(\frac{3}{20}\) × 100 = n
=> \(\frac{3}{1}\) × 5 = n
=> \(\frac{15}{1}\) = n
=> 15= n.
b. 16 is ____% of 25.
Answer:
16 is 64% of 25.
Explanation:
Let the % be n.
=>16 = \(\frac{n}{100}\) × 25
=> 16 ÷ 25 = \(\frac{n}{100}\)
=> \(\frac{16}{25}\) = \(\frac{n}{100}\)
=> \(\frac{16}{25}\) × 100 = n
=> \(\frac{16}{1}\) × 4 = n
=> \(\frac{64}{1}\) = n
=> 64 = n.
Question 3.
a. 0.9 is ____% of 6.
Answer:
0.9 is 15% of 6.
Explanation:
Let the % be n.
=> 0.9 = \(\frac{n}{100}\) × 6
=> 0.9 ÷ 6 = \(\frac{n}{100}\)
=> \(\frac{0.3}{2}\) = \(\frac{n}{100}\)
=> \(\frac{0.3}{2}\) × 100 = n
=> \(\frac{0.3}{1}\) × 50 = n
=> \(\frac{15}{1}\) = n
=> 15 = n.
b. \(\frac{1}{3}\) is ____% of \(\frac{5}{6}\).
Answer:
\(\frac{1}{3}\) is 40% of \(\frac{5}{6}\).
Explanation:
Let the % be n.
=> \(\frac{1}{3}\) = \(\frac{n}{100}\) × \(\frac{5}{6}\)
=> \(\frac{1}{3}\) ÷ \(\frac{6}{5}\) = \(\frac{n}{100}\)
=> \(\frac{6}{15}\) = \(\frac{n}{100}\)
=> \(\frac{2}{5}\) × 100 = n
=> \(\frac{2}{1}\) × 20 = n
=> \(\frac{40}{1}\) = n
=> 40 = n.
Question 4.
a. 1.8 is ____% of 18.
Answer:
1.8 is 10% of 18.
Explanation:
Let the % be n.
=> 1.8 = \(\frac{n}{100}\) × 18
=> 1.8 ÷ 18 = \(\frac{n}{100}\)
=> \(\frac{0.1}{1}\) = \(\frac{n}{100}\)
=> \(\frac{0.1}{1}\) × 100 = n
=> \(\frac{10}{1}\) = n
=> 10 = n
b. 45 is ____% of 50.
Answer:
45 is 90% of 50.
Explanation:
Let the % be n.
=> 45 = \(\frac{n}{100}\) × 50
=> 45 ÷ 50 = \(\frac{n}{100}\)
=> \(\frac{9}{10}\) = \(\frac{n}{100}\)
=> \(\frac{9}{10}\) × 100 = n
=> \(\frac{9}{1}\) × 10 = n
=> \(\frac{90}{1}\) = n
=> 90 = n
Question 5.
a. 48 is ____% of 64.
Answer:
48 is 75% of 64.
Explanation:
Let the % be n.
=> 48 = \(\frac{n}{100}\) × 64
=> 48 ÷ 64 = \(\frac{n}{100}\)
=> \(\frac{6}{8}\) = \(\frac{n}{100}\)
=> \(\frac{3}{4}\) × 100 = n
=> \(\frac{3}{1}\) × 25 = n
=> \(\frac{75}{1}\) = n
=> 75 = n
b. 16 is ____% of 40.
Answer:
16 is 40% of 40.
Explanation:
Let the % be n.
=> 16 = \(\frac{n}{100}\) × 40
=> 16 ÷ 40 = \(\frac{n}{100}\)
=> \(\frac{4}{10}\) = \(\frac{n}{100}\)
=> \(\frac{4}{10}\) × 100 = n
=> \(\frac{4}{1}\) × 10 = n
=> \(\frac{40}{1}\) = n
=> 40 = n
Question 6.
a. 19 is ____% of 95.
Answer:
19 is 20% of 95.
Explanation:
Let the % be n.
=> 19 = \(\frac{n}{100}\) × 95
=> 19 ÷ 95 = \(\frac{n}{100}\)
=> \(\frac{1}{5}\) = \(\frac{n}{100}\)
=> \(\frac{1{5\) × 100 = n
=> \(\frac{1}{1}\) × 20 = n
=> \(\frac{20}{1}\) = n
=> 20 = n
b. 39 is ____% of 26.
Answer:
39 is 150% of 26.
Explanation:
Let the % be n.
=> 39 = \(\frac{n}{100}\) × 26
=> 39 ÷ 26 = \(\frac{n}{100}\)
=> \(\frac{3}{2}\) = \(\frac{n}{100}\)
=> \(\frac{3}{2}\) × 100 = n
=> \(\frac{3}{1}\) × 50 = n
=> \(\frac{150}{1}\) = n
=> 150 = n
Question 7.
a. 1.8 is ____% of 6.
Answer:
1.8 is 30% of 6.
Explanation:
Let the % be n.
=> 1.8 = \(\frac{n}{100}\) × 6
=> 1.8 ÷ 6 = \(\frac{n}{100}\)
=> \(\frac{0.3}{1}\) = \(\frac{n}{100}\)
=> \(\frac{0.3}{1}\) × 100 = n
=> \(\frac{30}{1}\) = n
=> 30 = n
b. 5.6 is ____% of 2.8.
Answer:
5.6 is ____% of 2.8.
Explanation:
Let the % be n.
=> 5.6 = \(\frac{n}{100}\) × 2.8
=> 5.6 ÷ 2.8 = \(\frac{n}{100}\)
=> \(\frac{0.2}{0.1}\) = \(\frac{n}{100}\)
=> \(\frac{0.2}{0.1}\) × 100 = n
=> \(\frac{20}{0.1}\) = n
=> 200 = n
Question 8.
a. 12 is ____% of 32.
Answer:
12 is 37.5% of 32.
Explanation:
Let the % be n.
=> 12 = \(\frac{n}{100}\) × 32
=> 12 ÷ 32 = \(\frac{n}{100}\)
=> \(\frac{3}{8}\) = \(\frac{n}{100}\)
=> \(\frac{3}{8}\) × 100 = n
=> \(\frac{3}{2}\) × 25 = n
=> \(\frac{75}{2}\) = n
=> 37.5 = n
b. 64 is ____% of 5.12.
Answer:
64 is 1250 % of 5.12.
Explanation:
Let the % be n.
=> 64 = \(\frac{n}{100}\) × 5.12
=> 64 ÷ 5.12 = \(\frac{n}{100}\)
=> \(\frac{32}{2.56}\) = \(\frac{n}{100}\)
=> \(\frac{1}{0.08}\) × 100 = n
=> \(\frac{1}{0.02}\) × 25 = n
=> \(\frac{25}{0.02}\) = n
=> 1250 = n
Question 9.
a. \(\frac{3}{8}\) is ____% of \(\frac{3}{4}\).
Answer:
\(\frac{3}{8}\) is 50% of \(\frac{3}{4}\).
Explanation:
Let the % be n.
=> \(\frac{3}{8}\) = \(\frac{n}{100}\) × \(\frac{3}{4}\)
=> \(\frac{3}{8}\) ÷ \(\frac{3}{4}\) = \(\frac{n}{100}\)
=> \(\frac{3}{8}\) × \(\frac{4}{3}\) = \(\frac{n}{100}\)
=> \(\frac{1}{8}\) × \(\frac{4}{1}\) = \(\frac{n}{100}\)
=> \(\frac{1}{2}\) × \(\frac{1}{1}\) = \(\frac{n}{100}\)
=> \(\frac{1}{2}\) = \(\frac{n}{100}\)
=> \(\frac{1}{2}\) × 100 = n
=> \(\frac{1}{1}\) × 50 = n
=> \(\frac{50}{1}\) = n
=> 50 = n
b. 1.4 is ____% of 5.6.
Answer:
1.4 is 25% of 5.6.
Explanation:
Let the % be n.
=> 1.4 = \(\frac{n}{100}\) × 5.6
=> 1.4 ÷ 5.6 = \(\frac{n}{100}\)
=> \(\frac{0.1}{0.4}\) = \(\frac{n}{100}\)
=> \(\frac{0.1}{0.4}\) × 100 = n
=> \(\frac{0.1}{0.1}\) × 25 = n
=> \(\frac{2.5}{0.1}\) = n
=> 25 = n
Question 10.
a. 0.6 is ____% of 0.5.
Answer:
0.6 is 120% of 0.5.
Explanation:
Let the % be n.
=> 0.6 = \(\frac{n}{100}\) × 0.5
=> 0.6 ÷ 0.5 = \(\frac{n}{100}\)
=> \(\frac{0.6}{0.5}\) = \(\frac{n}{100}\)
=> \(\frac{0.6}{0.5}\) × 100 = n
=> \(\frac{0.6}{0.1}\) × 20 = n
=> \(\frac{12}{0.1}\) = n
=> 120 = n
b. \(\frac{7}{10}\) is ____% of \(\frac{7}{8}\).
Answer:
\(\frac{7}{10}\) is 80% of \(\frac{7}{8}\).
Explanation:
Let the % be n.
=> \(\frac{7}{10}\) = \(\frac{n}{100}\) × \(\frac{7}{8}\)
=> \(\frac{7}{10}\) ÷ \(\frac{8}{7}\) = \(\frac{n}{100}\)
=> \(\frac{7}{10}\) × \(\frac{8}{7}\) = \(\frac{n}{100}\)
=> \(\frac{1}{10}\) × \(\frac{8}{1}\) = \(\frac{n}{100}\)
=> \(\frac{8}{10}\) = \(\frac{n}{100}\)
=> \(\frac{4}{5}\) × 100 = n
=> \(\frac{4}{1}\) × 20 = n
=> \(\frac{80}{1}\) = n
=> 80 = n