Chapter 4: Q61. (page 181)

Use cross products to solve each proportion.
$\frac{2}{3} = \frac{a}{42}$

Short Answer

Expert verified

Given proportion is simplified to $a = 28$

Step by step solution

- Cross product between two proportions

Let $\frac{a'}{b'}$ and $\frac{c'}{d'}$ be two equal proportions that is $\frac{a'}{b'} = \frac{c'}{d'}$

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is $a' d' = b' c'$

- Substitution

Substitute 2 for $a'$ , 3 for $b'$ , $a$ for $c'$ , and 42 for $d'$ into $a' d' = b' c'$ gives

$2 \times 42 = 3 \times a$

- Simplify 2×42=3×a

To simplify this expression multiply both the numbers of left side and then divide it from number on the right as shown below.

$\begin{matrix} 84 = 3 a \\ a = \frac{84}{3} \\ a = 28 \end{matrix}$

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Use cross products to solve each proportion.
$\frac{2}{3} = \frac{a}{42}$

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify 2×42=3×a

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Use cross products to solve each proportion.23=a42

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify 2×42=3×a

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Probability and Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Use cross products to solve each proportion.
$\frac{2}{3} = \frac{a}{42}$