Question

In a dart throwing game, points are calculated in such a manner that if dart lands in blue ring, then it is worth $5$ points, if it lands in red ring, then it is worth of $10$ points. Now, Joe has a total of $6$ darts to throw. If $x$ of his darts land in a blue ring and the rest land in a red ring, then which expression represents his total score?

• A. $10x$
• B. $10x+5$
• C. $5x+30$
• D. $60-5x$

Answer 1

The correct option is D $60-5x$

Let the points per blue ring $\left(5\right)$ times number of darts in blue ring $\left(x\right)$, plus points per red ring $\left(10\right)$ times number of darts in red ring $(6-x)$.

Now, translate the words into numbers, variables, and operations: $5x+10(6–x)$.

$=5x+60–10x$

$=(60–5x)$ is the total score.