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Ratio is a comparison of two quantities expressed as a fraction, while proportion states that two ratios are equal. Understanding how to simplify ratios, convert between ratios and fractions, and solve problems involving…
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A car travels 150 miles on 5 gallons of gas. How far can it travel on 8 gallons?
The car can travel 240 miles on 8 gallons.
The full exam-length answer is in the app.
Explain the concept of proportions with an example.
Proportions show that two ratios are equal; for example, 1:2 = 2:4.
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A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 8 cups of flour, how much sugar do you need?
You need 12 cups of sugar.
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Differentiate between direct and inverse proportion.
In direct proportion, as one quantity increases, the other also increases; in inverse proportion, as one quantity increases, the other decreases.
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If 3 apples cost $6, how much do 5 apples cost?
5 apples cost $10.
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Using cross-multiplication, solve for x in the proportion 2/3 = x/12.
x = 8.
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Explain how to find equivalent ratios.
To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.
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Define ratio.
A ratio is a comparison of two quantities expressed as a fraction.
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State the definition of proportion.
Proportion is an equation that states two ratios are equal.
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What is the ratio of 8 to 12?
The ratio of 8 to 12 is 2:3.
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Simplify the ratio 15:20.
The simplified ratio is 3:4.
The full exam-length answer is in the app.
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