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Flashcards: Number and Quantity

$\displaystyle 24$ is $18\%$ $\displaystyle 18\%$ of which of the following numbers?

1800 $\displaystyle 1800$

$130.\bar{3}$ $\displaystyle 130.\bar{3}$

120.2 $\displaystyle 120.2$

2400 $\displaystyle 2400$

$133.\bar{3}$ $\displaystyle 133.\bar{3}$

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Flashcards: Number and Quantity

$\displaystyle 24$ is $18\%$ $\displaystyle 18\%$ of which of the following numbers?

1800 $\displaystyle 1800$

$130.\bar{3}$ $\displaystyle 130.\bar{3}$

120.2 $\displaystyle 120.2$

2400 $\displaystyle 2400$

$133.\bar{3}$ $\displaystyle 133.\bar{3}$

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Flashcards: Number and Quantity

$\displaystyle 24$ is $18\%$ $\displaystyle 18\%$ of which of the following numbers?

Your answer:

1800 $\displaystyle 1800$

Your answer:

$130.\bar{3}$ $\displaystyle 130.\bar{3}$

Your answer:

120.2 $\displaystyle 120.2$

Your answer:

2400 $\displaystyle 2400$

Correct answer:

$133.\bar{3}$ $\displaystyle 133.\bar{3}$

Explanation:

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

$18\%=\frac{18}{100}$ $\displaystyle 18\%=\frac{18}{100}$

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that $\displaystyle 24$ is $18\%$ $\displaystyle 18\%$ of another number we will name, $\displaystyle x$ . Using this information we need to construct a proportion. We can write the following proportion:

$\frac{24}{x}=\frac{18}{100}$ $\displaystyle \frac{24}{x}=\frac{18}{100}$

We can cross multiply and solve for the unknown variable.

$\frac{24}{x}\times\frac{18}{100}$ $\displaystyle \frac{24}{x}\times\frac{18}{100}$

Rewrite.

$24\times100=18\times x$ $\displaystyle 24\times100=18\times x$

Simplify.

$\displaystyle 2400=18x$

Divide both sides of the equation by $\displaystyle 18$ .

$\frac{2400}{18}=\frac{18x}{18}$ $\displaystyle \frac{2400}{18}=\frac{18x}{18}$

Solve.

$x=133.\bar{3}$ $\displaystyle x=133.\bar{3}$

Flashcards: Number and Quantity

$\displaystyle 30$ is $60\%$ $\displaystyle 60\%$ of which of the following numbers?

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 60$

$\displaystyle 50$

$\displaystyle 30$

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Flashcards: Number and Quantity

$\displaystyle 30$ is $60\%$ $\displaystyle 60\%$ of which of the following numbers?

Your answer:

$\displaystyle 6$

Your answer:

$\displaystyle 5$

Your answer:

$\displaystyle 60$

Your answer:

$\displaystyle 30$

Correct answer:

$\displaystyle 50$

Explanation:

$60\%=\frac{60}{100}$ $\displaystyle 60\%=\frac{60}{100}$

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that $\displaystyle 30$ is $60\%$ $\displaystyle 60\%$ of another number we will name, $\displaystyle x$ . Using this information we need to construct a proportion. We can write the following proportion:

$\frac{30}{x}=\frac{60}{100}$ $\displaystyle \frac{30}{x}=\frac{60}{100}$

We can cross multiply and solve for the unknown variable.

$\frac{30}{x}\times\frac{60}{100}$ $\displaystyle \frac{30}{x}\times\frac{60}{100}$

Rewrite.

$30\times100=60\times x$ $\displaystyle 30\times100=60\times x$

Simplify.

$\displaystyle 3000=60x$

Divide both sides of the equation by $\displaystyle 60$ .

$\frac{3000}{60}=\frac{60x}{60}$ $\displaystyle \frac{3000}{60}=\frac{60x}{60}$

Solve.

x=50 $\displaystyle x=50$

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Flashcards: Number and Quantity

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Flashcards: Number and Quantity

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