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We will update the strategy we used in our earlier applications to include equations now. Notice that we will translate a sentence into an equation.
Now that we have the strategy to refer to, and have practiced solving basic percent equations, we are ready to solve percent applications. Be sure to ask yourself if your final answer makes sense—since many of the applications we'll solve involve everyday situations, you can rely on your own experience.
Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was They want to leave an tip. If the tip will be of the total bill, how much should the tip be?
| What are you asked to find? | the amount of the tip |
| Choose a variable to represent it. | Let amount of tip. |
| Write a sentence that give the information to find it. | The tip is 18% of the total bill. |
| Translate the sentence into an equation. |
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| Multiply. |
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| Check. Is this answer reasonable? | |
| If we approximate the bill to $70 and the percent to 20%, we would have a tip of $14.
So a tip of $12.33 seems reasonable. |
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| Write a complete sentence that answers the question. | The couple should leave a tip of $12.33. |
Cierra and her sister enjoyed a special dinner in a restaurant, and the bill was If she wants to leave of the total bill as her tip, how much should she leave?
$14.67
Kimngoc had lunch at her favorite restaurant. She wants to leave of the total bill as her tip. If her bill was how much will she leave for the tip?
$2.16
The label on Masao's breakfast cereal said that one serving of cereal provides milligrams (mg) of potassium, which is of the recommended daily amount. What is the total recommended daily amount of potassium?
| What are you asked to find? | the total amount of potassium recommended |
| Choose a variable to represent it. | Let total amount of potassium. |
| Write a sentence that gives the information to find it. | 85% mg if 2% of the total amount. |
| Translate the sentence into an equation. |
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| Divide both sides by 0.02. |
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| Simplify. |
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| Check: Is this answer reasonable? | |
| Yes. 2% is a small percent and 85 is a small part of 4,250. | |
| Write a complete sentence that answers the question. | The amount of potassium that is recommended is 4250 mg. |
One serving of wheat square cereal has grams of fiber, which is of the recommended daily amount. What is the total recommended daily amount of fiber?
24.1 grams
One serving of rice cereal has mg of sodium, which is of the recommended daily amount. What is the total recommended daily amount of sodium?
2,375 mg
Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was calories, and had calories of fat. What percent of the total calories in each brownie comes from fat?
| What are you asked to find? | the percent of the total calories from fat |
| Choose a variable to represent it. | Let percent from fat. |
| Write a sentence that gives the information to find it. | What percent of 480 is 240? |
| Translate the sentence into an equation. |
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| Divide both sides by 480. |
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| Simplify. |
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| Convert to percent form. |
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| Check. Is this answer reasonable? | |
| Yes. 240 is half of 480, so 50% makes sense. | |
| Write a complete sentence that answers the question. | Of the total calories in each brownie, 50"% is fat. |
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