SOLUTION: lucy thinks of a number. she adds half of the number to one quarter of the number and gets 66. what was the number she was thinking of?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: lucy thinks of a number. she adds half of the number to one quarter of the number and gets 66. what was the number she was thinking of?      Log On


   

Question 912123: lucy thinks of a number. she adds half of the number to one quarter of the number and gets 66. what was the number she was thinking of?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Lucy thinks of a number x
she adds half of the number (%281%2F2%29x) to one quarter of the number (%281%2F4%29x) and gets 66
so, %281%2F2%29x%2B%281%2F4%29x=66 ...solve for x
%281%2F2%29x%2B%281%2F4%29x=66 ...both sides multiply by 4
4%281%2F2%29x%2B4%281%2F4%29x=66%2A4
cross%284%292%281%2Fcross%282%29%29x%2Bcross%284%29%281%2Fcross%284%29%29x=264
2x%2Bx=264
3x=264
x=264%2F3
x=88 => Lucy thinks of a number 88