Question

Six chances are given to a customer playing darts. $10$ points are given to him if the dart lands inside the red ring and $5$ points are awarded if the dart lands inside the blue ring. If $x$ of the darts he throws land inside the blue ring, and the rest, inside the red ring, calculate the expression for his total score.

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

Answer 1

Answer: (D)

$60-5x$

Total chance of playing darts $=6$

No of chance customer throws land inside the blue ring $=x$

$\therefore$ No. of chance customer throws land inside the red ring$=6-x$

No of points he awarded if the dart land inside the blue ring $=5x$

No.of points he awarded if the dart land inside the red ring$=10(6-x)=60-10x$

$\therefore$total score $=$ $5x+60-10x=60-5x$