Question

When playing Among Us, the ratio of the number of times being a crewmate to the number of times being the imposter is 5 to 2. If Fanta was a crewmate 20 times, how many times was she the imposter?

Answer 1

Step-by-step explanation:

number of times being a crew mate = 5

number of times being the imposter = 2

The ratio of crewmate to imposter = 5:2

Number of times Fanta was a crew mate = 20

let the number of times Fanta would be an imposter = x

Ratio = 20:x

equating both:

5:2 = 20:x

`\begin{gathered} (5)/(2)=(20)/(x) \\ \text{cross multiply:} \\ 5x\text{ = 2(20)} \end{gathered}`
`\begin{gathered} 5x\text{ = 40} \\ \text{divide both sides by 5:} \\ \frac{5x}{5\text{ = 40/5}} \\ x\text{ = 8} \end{gathered}`

Hence, the number of times fanta was the imposter is 8