To evaluate: the proportions 6015=12y by cross products property.

Calculation: The product of the numerator of the ratio and of the denominator of the other is known as a cross product. Cross products can be used to determine whether the ratios form a proportion or not. If the cross products are equal, then the ratios form a proportion. 6015=12y [Write the proportion.] 60×y=15×12 [Apply cross products property.] 60y=180 [Multiply.] 60y60=18060 [Divide each side by 24 to place the variable on one side of the equation] y=3 [Simplify.] Hence, the solution of the proportions 6015=12y is y=3.

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High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Tobias Ali

Answered question

2021-08-15

To evaluate: the proportions

\frac{60}{15} = \frac{12}{y}

by cross products property.

Answer & Explanation

joshyoung05M

Skilled2021-08-16Added 97 answers

Calculation:
The product of the numerator of the ratio and of the denominator of the other is known as a cross product. Cross products can be used to determine whether the ratios form a proportion or not. If the cross products are equal, then the ratios form a proportion.

\frac{60}{15} = \frac{12}{y}

[Write the proportion.]

60 \times y = 15 \times 12

[Apply cross products property.]

60 y = 180

[Multiply.]

\frac{60 y}{60} = \frac{180}{60}

[Divide each side by 24 to place the variable on one side of the equation]

y = 3

[Simplify.]
Hence, the solution of the proportions

\frac{60}{15} = \frac{12}{y}

y = 3

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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