Question

Malik spent 1/4 of his money shopping. The next day he spent 1/3 of the money he had left. Now he has $42. How many money did Malik have before he did any shopping?

Answer 1

Malik had a total of $84 initially

Explanation:

Step 1

Express the amount of money Malik had before he did any shopping as follows;

A=E+R

where;

A=initial amount Malik had

E=total expenditure

R=total remainder after spending

In our case;

A=x

E=Amount spent on shopping+a third he had left

Amount spent on shopping=1/4 x

Amount left=x-1/4 x=3/4 x

1 /3 of amount left=(1/3)×(3/4) x=1/4 x

E=1/4 x+1/4 x=1/2 x

R=$42

Step 2

Substitute the values in the expression and solve for A;

x=(1/2 x)+42

x-1/2 x=42

1/2 x=42

x=42×2=84

Malik had a total of $84 initially