Difference between revisions of "2009 Grade 8 CEMC Gauss Problems/Problem 14"

Latest revision as of 12:05, 1 October 2025

This page has been proposed for deletion. Reason: being moved Note to sysops: Before deleting, please review: • What links here • Discussion page • Edit history

@@ Line 1: / Line 1: @@
-==Problem==
+{{delete|being moved}}
-Vanessa set a school record for the most points in a single basketball game when her team scored <math>48</math> points. The other six players on her team averaged <math>3.5</math> points each. How many points did Vanessa score to set her school record?
-<math> \text{ (A) }\ 21 \qquad\text{ (B) }\ 25 \qquad\text{ (C) }\ 32 \qquad\text{ (D) }\ 17 \qquad\text{ (E) }\ 27 </math>
-==Solution==
-We can subtract the number of points that the other six team members got from the total number of points that the team got.
-Let <math>n</math> be the number of points that the other six team members got. We can now set up an equation using the average given in the problem:
-<math>\frac{n}{6} = 3.5</math>
-Multiplying both sides by <math>6</math> to get rid of the fraction, we get:
-<math>n = 3.5 \times 6 = 21</math>
-We can now subtract this from the total number of points that the team got, to get how many points Vanessa scored:
-<math>48 - 21 = \boxed {\textbf {(E) } 27}</math>
-~anabel.disher