40.9k views
4 votes
Lawal spends 3/4 of his monthly salary on food and 1/2 of the remainder on rent. If he has 150 naira in his pocket in the end, how much does he earn monthly? a. 800 naira b. 1200 naira c. 1600 naira d. 2400 naira

User PWiggin
by
7.8k points

1 Answer

2 votes

Final answer:

Lawal earns 1200 naira monthly.

Step-by-step explanation:

To solve this problem, we can work backwards from the final amount in Lawal's pocket. Let's denote Lawal's monthly salary as 'x'. He spends 3/4 of x on food, so he has x - (3/4)x = (1/4)x remaining. He then spends 1/2 of the remainder on rent, so he has (1/4)x - (1/2)((1/4)x) = (1/4)x - (1/8)x = (1/8)x remaining. Since he has 150 naira left, we can set up the equation:

(1/8)x = 150

To solve for x, we can multiply both sides of the equation by 8:

x = 150 * 8 = 1200

Therefore, Lawal earns 1200 naira monthly.

Learn more about monthly income calculation

User Emmanuel Mtali
by
8.5k points