Answer to Question #279409 in Algebra for Luke

Question

The ratio of grey ties to black ties on display is 5 to 2. Use the ratio table to determine how many black ties will be on display if there are 35 gray ties

Answer 1

Let $x$ black ties will be on display if there are 35 gray ties. Then

$$\dfrac{5}{2}=\dfrac{35}{x}$$

$$x=\dfrac{2(35)}{5}$$

$$x=14$$

$14$ black ties will be on display if there are 35 gray ties.