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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 37 Page 209

Solve for the variable by using the Cross Products Property.

x=10

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: & xto0.25 ⇒ x/0.25 [0.8em] Second Ratio: & 6to1.5 ⇒ 6/1.5 [0.8em] Proportion: & x/0.25 = 6/1.5 To solve the proportion, we will use the Cross Products Property.
x/0.25 = 6/1.5
CrossMult

Cross multiply

x * 1.5 = 0.25 * 6
Multiply

Multiply

1.5x = 1.5
DivEqn

.LHS /1.5.=.RHS /1.5.

1.5x/1.5 = 1.5/1.5
DenomMultFracToNumber

1.5 * a/1.5= a

x= 1.5/1.5
QuotOne

a/a=1

x = 1
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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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