Question

At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 pointscored by their opponent, the Rams.If the Coyotes scored 42 points, how many points did the Rams score?

Answer 1

At Coyotes' football game yesterday,

The Coyotes scored 6 points for every 1 point scored by the Rams.

The ratio of the points scored by the Coyotes to the Rams is

`\text{Coyotes:Rams}\Rightarrow6\colon1`

If the Coyotes scored 42 points, Let the number of points scored by the Rams be k

The number of points scored by the Rams will be

`\begin{gathered} 6\colon1\Rightarrow42\colon k \\ (6)/(1)=(42)/(k) \\ \text{Crossmultiply} \\ 6* k=42*1 \\ 6k=42 \\ \text{Divide both sides by 6} \\ (6k)/(6)=(42)/(6) \\ k=7 \end{gathered}`

Hence, the Rams scored 7 points