Question

In a hand of cards, the ratio of black cards was 5 to 3. if the hand contained 15 black cards, which of the following proportions could be solved to find the number of red cards, r(1) 15/r = 5/3. (3) r/15 = 3/8(2) r/15 = 5/3. (4) 15/r = 5/8

Answer 1

15/r = 5/3 (option 1)

Step-by-step explanation:

Ratio of black cards to red cards = 5: 3

If there are 15 black cards, let the number of red cards =r

The ratio of black cards to red cards becomes = 15: r

Since both expressions are prportional, we equate them together

5:3 = 15:r

Note: Ratio(:) means division

5/3 = 15/r

`\begin{gathered} (5)/(3)=(15)/(r) \\ \text{rewritting:} \\ (15)/(r)\text{ = }\frac{\text{5}}{3}\text{ (option 1)} \end{gathered}`