Mwantum had money and she used 1/3 of her money for travel and 0.75 of the remaining money for food find the percentage of the remaining money

1 answer

To find the percentage of the remaining money, we need to determine how much money is left after Mwantum spent 1/3 on travel and 0.75 of the remaining money on food.

Let's say Mwantum had $x.

She spent 1/3 of her money on travel, which is (1/3)*x = x/3.

The remaining money is x - (x/3) = (2/3)*x.

Mwantum then spent 0.75 of the remaining money on food, which is (0.75)*((2/3)*x) = (3/4)*((2/3)*x) = (3/4)*(2/3)*x = (1/2)*x.

The remaining money after spending on food is (2/3)*x - (1/2)*x = (4/6)*x - (3/6)*x = x/6.

To find the percentage of the remaining money, we divide the remaining money by the original amount of money and multiply by 100:

(x/6) / x * 100 = (1/6) * 100 = 16.67%

Therefore, the percentage of the remaining money is approximately 16.67%.