Writing and Solving Proportions
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Mathematics
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8th - 12th Grade
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Hard
kiaraa kitty
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5 Slides • 2 Questions
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Writing and Solving Proportions
Chapter 6 Lesson 6.3
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Writing and Solving Proportions
A proportion is an equation that states that two ratios are equivalent.
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Equivalent Ratios
If one of the numbers in a proportion is unknown, you can solve the proportion to find the unknown number. One way to solve a proportion is to use mental math to find an equivalent ratio.
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Problem Solving
Each day, an elephant eats 5 pounds of food for every 100 pounds of its body weight. How much does a 9300 pound elephant eat per day?
In Example 3, you’ll see how to use a proportion to answer this question.
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Example 1 Solving a Proportion Using Equivalent Ratios
Solve the proportion
65=18x1. Compare the denominator
2. Find the x
Answer Because 5⋅3=15, x=15
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Multiple Choice
Checkpoint 1:
Use equivalent ratios to solve the proportion.
x= 8
x= 4
x= 9
x= 13
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Multiple Choice
Checkpoint 2:
Use algebra to solve the proportion.
x=25
x= 4.44
x= 6.55
Writing and Solving Proportions
Chapter 6 Lesson 6.3
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