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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Writing and Solving Proportions
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Exercise 16 Page 206

Solve for the variable by using the Cross Products Property.

x=7.5

Practice makes perfect
For the given ratios to be equivalent, we need them to be proportional. First we will write them as fractions and then we can set them equal to one another. Then we will have a proportion that we can solve for x. rc First Ratio: & x:9 ⇒ x/9 [0.8em] Second Ratio: & 5:6 ⇒ 5/6 [0.8em] Proportion: & x/9=5/6 To solve the proportion, we have to isolate x on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by 9. This will eliminate the denominator of the fraction and isolate x.
x/9=5/6
MultEqn

LHS * 9=RHS* 9

9 * x/9=9 * 5/6
DenomMultFracToNumber

9 * a/9= a

x = 9 * 5/6
MoveLeftFacToNum

a*b/c= a* b/c

x = 45/6
CalcQuot

Calculate quotient

x=7.5
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arrow_right Try It p.204-206
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Try It 2 (Page 204)
Try It 3 (Page 204)
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arrow_right Self-Assessment for Concept & Skills p.206
Self-Assessment for Concept & Skills 14 (Page 206)
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arrow_right Self-Assessment for Problem Solving p.207
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arrow_right Review & Refresh p.208
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arrow_right Concept, Skills, & Problem Solving p.208-210
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