Question

You spent ¼ of your money on lunch.After lunch you gave half of what you had left to the friend,then you spent $3 on a boon. You have $4¼ left. How much money did you have before lunch.

Please explain this. with answer​

Answer 1

`total \: you \: have \: = x \\after\: lunch \: you \: have \: = (3x)/(4) \\ a fter \: giving \: to \: friend = (3x)/(8) \\ after \: spending \: for \: boon = (3x)/(8) - 3 = 4 (1)/(4) \\ (3x - 8 * 3)/(8) = (17)/(4) \\ (3x - 24)/(2) = 17 \\ 3x - 24 = 17 * 2 \\ 3x - 24 = 34 \\ 3x = 34 + 24 \\ 3x = 58 \\ x = (58)/(3) \\ x = 19.33 \\ thank \: you`