Question

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Answer 1

Step-by-step explanation:

a) 14/70 × 100 = 1400/ 17 = 20%

b) 9 / 99 × 100 = 100 / 11%

c) 10 / 160 × 100 = 25 / 4%

d) 188 / 200 × 100 = 94%

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Answer 2

Answer:

What percentage of 70 is 14 ?

• let the percentage be x

$\longrightarrow\bf{\dfrac{x}{100}\times 70 = 14}$

$\longrightarrow\bf{\dfrac{70x}{100} = 14}$

$\longrightarrow\bf{70x = 14\times 100 }$

$\longrightarrow\bf{70x = 1400 }$

$\longrightarrow\bf{x = \dfrac{1400}{70} }$

$\longrightarrow\bf{x = \dfrac{140}{7} }$

$\longrightarrow\bf{x = 20}$

• Therefore 20% of 70 is 14 .

What percentage of 99 is 9 ?

• let the percentage be x

$\longrightarrow\bf{\dfrac{x}{100}\times 99 = 9}$

$\longrightarrow\bf{\dfrac{99x}{100} = 9}$

$\longrightarrow\bf{99x = 9\times 100 }$

$\longrightarrow\bf{99x = 900 }$

$\longrightarrow\bf{x = \dfrac{900}{99} }$

$\longrightarrow\bf{x = 9.09}$

• Therefore 9.09% of 99 is 9 .

What percentage of 160 is 10 ?

• let the percentage be x

$\longrightarrow\bf{\dfrac{x}{100}\times 160 = 10}$

$\longrightarrow\bf{\dfrac{160x}{100} = 10}$

$\longrightarrow\bf{160x = 10\times 100 }$

$\longrightarrow\bf{160x = 1000 }$

$\longrightarrow\bf{x = \dfrac{1000}{160} }$

$\longrightarrow\bf{x = 6.25}$

• Therefore 6.25% of 160 is 10 .

What percentage of 200 is 188 ?

• let the percentage be x

$\longrightarrow\bf{\dfrac{x}{100}\times 200 = 188}$

$\longrightarrow\bf{\dfrac{200x}{100} = 188}$

$\longrightarrow\bf{200x = 188\times 100 }$

$\longrightarrow\bf{2000x = 18800 }$

$\longrightarrow\bf{x = \dfrac{18800}{200} }$

$\longrightarrow\bf{x = \dfrac{188}{2}}$

$\longrightarrow\bf{x = 94}$

• Therefore 94% of 200 is 188 .