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Justice spent \(\frac{1}{3}\) of his monthly income on rent, \(\frac{1}{4}\) on food, and \(\frac{1}{5}\) on clothes. If he is left with GH₵ 390.00, find:

a. The total fraction spent on rent, food, and clothes.
b. The fraction which is left.
c. His monthly income.

A. a. \(\frac{17}{60}\), b. \(\frac{43}{60}\), c. GH₵ 650.00
B. a. \(\frac{15}{60}\), b. \(\frac{45}{60}\), c. GH₵ 600.00
C. a. \(\frac{19}{60}\), b. \(\frac{41}{60}\), c. GH₵ 720.00
D. a. \(\frac{14}{60}\), b. \(\frac{46}{60}\), c. GH₵ 580.00

Answer :

Final answer:

Justice spent a total of 47/60 of his income. The fraction left is 13/60. His total monthly income is GH₵ 1800, so none of the provided options (A, B, C, D) are correct.

Explanation:

The subject of this question is Mathematics, specifically fractions and basic arithmetic. To solve it, let's first find how much Justice spent on rent, food, and clothes. To do so, we add up the fractions: 1/3 (for rent) + 1/4 (for food) + 1/5 (for clothes), which gives us 20/60 + 15/60 + 12/60 = 47/60.

This is the total fraction he spent, eliminating option a. From here, we can figure out how much was left. Since the total fraction must equal 1, we subtract what he spent from 1 to find what was left: 1 - 47/60. This gives us 13/60, eliminating option b. Finally, we attribute the amount left (GH₵ 390) to the fraction 13/60. To find his monthly income (the whole amount, or 1), we calculate 390 ÷ (13/60) = GH₵ 1800, which eliminates the remaining options. Therefore, none of the given answers (A, B, C, D) is correct.

Learn more about Fractions and Basic Arithmetic here:

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