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Algebraic Expressions

Somy spent 14...

Question

Somy spent $\frac{1}{4}$ of his money on a calculator. He spent $\frac{1}{3}$ of the remaining money on a basketball and had 548 left. How much money did he have at first?

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Solution

Dear Student,

$L e t t h e m o n e y S a m y h a s a t b e g i n n i n g = & x M o n e y s p e n t o n c a l c u l a t o r = \frac{1}{4} x M o n e y l e f t w i t h S a m y = x - \frac{1}{4} x = \frac{3 x}{4} M o n e y s p e n t o n b a s k e t b a l l = \frac{1}{3} o f \frac{3 x}{4} = \frac{1}{3} \times \frac{3 x}{4} = \frac{x}{4} M o n e y l e f t w i t h s a m y = \frac{3 x}{4} - \frac{x}{4} = \frac{2 x}{4} = \frac{x}{2} G i v e n : \frac{x}{2} = & 48 x = 48 \times 2 = & 96 S o, S a m y h a d & 96 a t t h e b e g i n n i n g .$

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