Question 17. Tom, John, and Lily each shot six arrows at a target. Arrows hitting anywhere within the same ring score the same number of points. Tom scored 46 points and John scored 34 points as shown. How many points did Lily score? Let's draw out the target and label each of the three rings as A, B, and C. Now we can start making formulas for what the different values will be. This is what Tom's target looked like. So we see he has three shots in the A ring, one shot in the B ring, and two shots in the C ring. He scored 46 points with this. So we can write out the formula 2C plus B plus 3A equals to 46. Next we can look at John. He shot like so. So we can make the formula 2C plus 3B plus A equals 34. And finally the score that we're trying to figure out is Lily. This is what hers looks like. And she scored 2C plus 2B plus 2A. Now looking at Tom and John's scores, we can add them together and get a formula of 4C plus 4B plus 4A equal to 80. Now if we just divide both sides by 2, we will get a similar or identical formula of 2C, 2B, and 2A just like how Lily scored. And here we get our answer which will be D, 40.

archery

scoring

calculation

competition

points