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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 7.85 (page 698)

Solve the proportion $\frac{y}{y + 55} = \frac{3}{8}$ .

Short Answer

Expert verified

The solution of the given proportion is $y = 33$ .

Step by step solution

01

Given information

The equation is given as $\frac{y}{y + 55} = \frac{3}{8}$ to find its solution.

02

Find the solution

Apply the algebraic operations to find the solution of the given equation.

Apply the cross multiplication and the exchange of the terms to find the required solution.

$\begin{array}{rcl} \frac{y}{y + 55} & = & \frac{3}{8} \\ y (8) & = & 3 (y + 55) \\ 8 y & = & 3 y + 165 \\ 8 y - 3 y & = & 165 \\ 5 y & = & 165 \\ y & = & \frac{165}{5} \\ = & 33 \end{array}$

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Most popular questions from this chapter

In the following exercises, multiply the rational expressions.

$\frac{2 n^{2} - 3 n - 14}{25 - n^{2}} . \frac{n^{2} - 10 n + 25}{2 n^{2} - 13 n + 21}$

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(b) $R (x) = f (x) - g (x)$ :

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