Difference between revisions of "2009 AMC 8 Problems/Problem 23"
Imagodurnot (talk | contribs) m (→Solution 2 (Don't need quadratic equation)) |
Imagodurnot (talk | contribs) m (→See Also) |
||
Line 20: | Line 20: | ||
Consider the solutions, there are two more boys than girls, so if there are 26 students, we have 14 boys and 12 girls. $4^2+2^2 according to bglah blah hkjlhkjhkjlhkjh | Consider the solutions, there are two more boys than girls, so if there are 26 students, we have 14 boys and 12 girls. $4^2+2^2 according to bglah blah hkjlhkjhkjlhkjh | ||
− | |||
− | |||
− | |||
− |
Revision as of 13:44, 7 September 2024
Problem
On the last day of school, Mrs. Wonderful gave jelly beans to her class. She gave each boy as many jelly beans as there were boys in the class. She gave each girl as many jelly beans as there were girls in the class. She brought jelly beans, and when she finished, she had six jelly beans left. There were two more boys than girls in her class. How many students were in her class?
Solution 1
If there are girls, then there are
boys. She gave each girl
jellybeans and each boy
jellybeans, for a total of
jellybeans. She gave away
jellybeans.
From here, we can see that as
, so there are
girls,
boys, and
students.
Solution 2 (Don't need quadratic equation)
Consider the solutions, there are two more boys than girls, so if there are 26 students, we have 14 boys and 12 girls. $4^2+2^2 according to bglah blah hkjlhkjhkjlhkjh