Malik had $48 before he did any shopping
Step-by-step explanation:
Malik has some money
Assume that Malik has $x
∵ He spent [tex]\frac{1}{4}[/tex] of it in shopping
∴ He spent = [tex]\frac{1}{4}[/tex] x
∴ The money left = x - [tex]\frac{1}{4}[/tex] x = [tex]\frac{3}{4}[/tex] x
∵ Next day he spent [tex]\frac{1}{3}[/tex] of the money he had left
∵ The money had left = [tex]\frac{3}{4}[/tex] x
∴ He spent in the next day = [tex]\frac{1}{3}[/tex] ( [tex]\frac{3}{4}[/tex] x)
∴ He spent in the next day = [tex]\frac{1}{4}[/tex] x
∵ He has now $42
∵ He has now = total money - the money spent in the two days
∵ He has now = x - ( [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] x)
∴ He has now = x - ( [tex]\frac{2}{4}[/tex] x )
∴ He has now = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x
- Equate the expression by 42
∴ [tex]\frac{1}{2}[/tex] x = 24
- Multiply both sides by 2
∴ x = $48
Malik had $48 before he did any shopping
Learn more:
You can learn more about fractions in brainly.com/question/1648978
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