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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 39 Page 209

Solve for the variable by using the Cross Products Property.

x = 4

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: & 7/4to 14 ⇒ .7 /4./14 [0.8em] Second Ratio: & x:32 ⇒ x/32 [0.8em] Proportion: & .7 /4./14 = x/32To solve the proportion, we will use the Cross Products Property.
.7 /4./14 = x/32
CrossMult

Cross multiply

7/4 * 32 = 14 * x
MoveRightFacToNum

a/c* b = a* b/c

7 * 32/4 = 14 * x
Multiply

Multiply

224/4 = 14x
CalcQuot

Calculate quotient

56 = 14x
From here, we will continue solving for x by using the Division Property of Equality.
56 = 14x
DivEqn

.LHS /14.=.RHS /14.

56/4=14x/14
DenomMultFracToNumber

14 * a/14= a

56/4=x
CalcQuot

Calculate quotient

4 = x
RearrangeEqn

Rearrange equation

x = 4
Subchapter links expand_more
arrow_right Try It p.204-206
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Try It 2 (Page 204)
Try It 3 (Page 204)
Try It 4 (Page 204)
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Try It 7 (Page 205)
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arrow_right Self-Assessment for Concept & Skills p.206
Self-Assessment for Concept & Skills 14 (Page 206)
Self-Assessment for Concept & Skills 15 (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
Review & Refresh 1 (Page 208)
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Review & Refresh 7 (Page 208)
arrow_right Concept, Skills, & Problem Solving p.208-210
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