2012 CEMC Gauss (Grade 7) Problems/Problem 6
Revision as of 11:28, 22 April 2025 by Anabel.disher (talk | contribs) (Created page with "==Problem== Fifteen times a number equals three hundred. The number is <math> \text{ (A) }\ 20 \qquad\text{ (B) }\ 10 \qquad\text{ (C) }\ 60 \qquad\text{ (D) }\ 30 \qquad\tex...")
Problem
Fifteen times a number equals three hundred. The number is
Solution 1
Let be the number that we want to solve for. Setting up an equation, we have:
Solving for n, we get:
Solution 2 (answer choices)
We can use the answer choices to see what the answer is. To do this, we can use first, and check if the number is too high.
This is more than , so the answer must be less than
.
We can then try :
This is equal to , so the number is
.