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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 24 Page 208

Solve for the variable by using the Cross Products Property.

k = 5.6, see solution.

Practice makes perfect
Notice that in the given equation k is only present within the denominator of a single fraction. 10/7 = 8/kTo solve this proportion, we will start by using the Cross Products Property. That way we will eliminate fractions and move k from the denominator. Let's do it!
10/7 = 8/k
CrossMult

Cross multiply

10* k = 7* 8
Multiply

Multiply

10k = 56
From here, we will continue solving for k by using the Division Property of Equality.
10k = 56
DivEqn

.LHS /10.=.RHS /10.

10k/10 = 56/10
DenomMultFracToNumber

10 * a/10= a

k = 56/10
WriteDec

Write as a decimal

k = 5.6
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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
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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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