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

[tex]total \: you \: have \: = x \\after\: lunch \: you \: have \: = \frac{3x}{4} \\ a fter \: giving \: to \: friend = \frac{3x}{8} \\ after \: spending \: for \: boon = \frac{3x}{8} - 3 = 4 \frac{1}{4} \\ \frac{3x - 8 \times 3}{8} = \frac{17}{4} \\ \frac{3x - 24}{2} = 17 \\ 3x - 24 = 17 \times 2 \\ 3x - 24 = 34 \\ 3x = 34 + 24 \\ 3x = 58 \\ x = \frac{58}{3} \\ x = 19.33 \\ thank \: you[/tex]

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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​

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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