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Akwasi spends 1/3 of his monthly income on rent, 1/4 on food, and 1/6 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) 13/12,11/2,, GH¢480.00
b) 1/2,1/2, GH¢720.00
c) 13/12,1/12, GH¢480.00
d) 1/3,1/4,1/6

User Vaab
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1 Answer

4 votes

Final answer:

Akwasi spends fractions of his monthly income on rent, food, and clothes. By adding the fractions, we find the total fraction spent. Subtracting from 1 gives the fraction left. Solving an equation helps find the monthly income.

Step-by-step explanation:

To find the total fraction of Akwasi's income spent on rent, food, and clothes, we add the fractions: 1/3 + 1/4 + 1/6. The common denominator for these fractions is 12, so when we add them, we get (4/12) + (3/12) + (2/12) = 9/12 = 3/4.

To find the fraction that is left, we subtract the total fraction spent on rent, food, and clothes from 1. So, 1 - 3/4 = 1/4.

To find Akwasi's monthly income, we need to find the value of 1/4 of his income, which is equal to GH¢390.00. We can set up the equation (1/4)(income) = GH¢390.00 and solve for income. Multiplying both sides by 4, we get income = GH¢390.00 * 4 = GH¢1560.00.

Therefore, the correct answer is 13/12,1/12,GH¢480.00.

User Lloyd Powell
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8.3k points