55% of what number is 1100? Which of the following proportions could be used to solve this problem?

April 10, 2022 Post a Comment

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A book was originally priced at $12. It was put on auction for $8. To the nearest pct, by what percent was its cost marked downwards?

Right reply:

$33\%$

Explanation:

This problem is a simple percent chage problem. The absoluge alter in cost was $\$12 - \$8 = \$4$ . Relative to the original price, it was $\frac{4}{12}$ , which is 0.3333 or $33.33\%$ .

To encourage more sales, a store has lowered the price of a item video game from $50 to $forty. What is the percentage toll subtract?

Correct answer:

Caption:

To find the percent of change, you must divide the difference between the original and new amounts by the original amount. In this instance, it would be $\frac{50-40}{50}$ , or $\frac{10}{50}$ , which is equivalent to xx%.

In a town, the population was 67,000. A disease epidemic strikes this town wiping nine,000 people out. What is the per centum decrease of the population.

Possible Answers:

thirteen.4%

5.7%

8.ix%

13.2%

xv.0%

Caption:

So the change in population is 9,000. The percentage of population loss is just the change in population divided by the original population.

$x=\frac{9,000}{67,000}=0.134$

Plough 0.134 into a percentage so that we get thirteen.4%. So the per centum of population loss is xiii.four%.

A farmer began the growing flavor with 120 acres of wheat. A astringent flood recently devastated much of the region, and merely 84 acres of wheat remain. By what percentage has the original corporeality of planted land (120 acres) decreased?

Explanation:

To find the percentage decrease, nosotros need to summate the difference between the original (larger) amount of land and the last (smaller) corporeality. Here, this difference is 120-84=36 acres. This value refers to thecorporeality of subtract. Nosotros now need to catechumen it into a percent.

To do so, nosotros use a proportion: $\frac{36}{120} = \frac{x}{100}$ .

Cantankerous-multiplication shows us that is equal to

$\frac{36}{120}\cdot 100$ , and then $x=\frac{3}{10}(100)=30$ percent.

The toll of a bike dropped from $\$75.99$ to $\$52.99$ . Condone sales taxation. What is the approximate percent decrease?

Correct answer:

$30\%$

Explanation:

Write the formula to discover per centum decrease:

$\textup{Percent Decrease}= \frac{\textup{Old-New}}{\textup{Old}} \times 100\%$

Subsitute the values into the formula.

$\frac{75.99-52.99}{75.99} \times 100\%= 30.267$

The approximate percent decrease is $30\%$ .

In 1983 there were an estimated six,000 snow leopards in the world, simply now scientists believe there are merely around 3,500. By what percent has the snow leopard population declined since 1983? Circular your reply to the nearest tenth of a percent.

Right answer:

$\small 41.7 \%$

Caption:

To effigy out the percent change, we want to effigy out the amount that the population changed. We can do this by subtracting:

$\small 6,000 - 3,500 = 2,500$

Now we want to figure out what percent that alter was of the original. In other words, 2,500 is what pct of half-dozen,000. We can write that as a solvable equation knowing that "of" means multiply:

$\small 2,500 = \frac{x}{100}*6,000$ divide both sides by 6,000

$\small 0.417\approx \frac{x}{100}$ multiply by 100 to convert this decimal into a per centum

$\small 41.7 \% = x$

A pair of shorts at the mall was marked downwards in price from $\$25$ to $\$15$ . What was the sale percentage on those shorts?

Correct respond:

$40\%$

Explanation:

To find the percentage that the original price decreased, utilize the post-obit relation:

$\frac{original-new}{original}=\frac{25-15}{25}=.4$

Now, to find the percentage, merely multiply the decimal by 100.

.4*100=40

Between January second and February 15th, the number of Christmas trees in windows on Macalaster Lane decreased by $85\%$ . If $70\%$ of the houses originally displayed trees, what pct of houses nevertheless accept trees on Feb 15th?

Correct respond:

$\small 10.5 \%$

Explanation:

If the amount of houses decreased by 85%, that means the amount that remain is 100% - 85%, or fifteen%. We want to discover 15% of 70%. Since we're leaving our reply as a percentage, nosotros can only leave lxx% every bit lxx, and convert 15% to 0.xv and multiply:

$\small 70*0.15= 10.5$ .

This means our reply is x.5%.

In 2013, the population of a urban center was 390,113 people. The same metropolis had a population of 501,662 people in 1999. Past what percent did the population of the city decrease during that time period? Round to the nearest tenth of a pct.

Right answer:

$\small 22.2 \%$

Explanation:

To figure out the pct change, we want to effigy out the amount that the population inverse. We can do this by subtracting:

$\small 501,662 - 390,113 = 111,549$

Now nosotros want to effigy out what percent that alter was of the original. In other words, 111,549 is what percent of 501,662. We tin can write that as a solvable equation knowing that "of" means multiply:

$\small 111,549 = \frac{x}{100}*501,662$ divide both sides by 501,662

$\small 0.222 \approx \frac{x}{100}$ multiply by 100 to catechumen this decimal into a percentage

$\small 22.2 \% = x$

What is the percent decrease from $\small 312$ to $\small 170$ ?

Correct answer:

$\small \approx46\%$

Explanation:

To find the percent change of 2 numbers, you lot apply the formula:

$\small \frac{difference}{original}\times 100$ .

This formula in the context of this question:

$\small \small \frac{312-170}{312}\times100 = \frac{142}{312}\times 100 = \frac{71}{156}\times 100 \approx45.5\%$ .

Thus, at present know that if we subtract about forty half-dozen pct of the original number from the original number, we would get the second number. Nosotros have about a xl six percent decrease.

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55% of what number is 1100? Which of the following proportions could be used to solve this problem?

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