Respuesta :
Answer: N6000
Step-by-step explanation:Let's denote the man's monthly wages as "W." :
He spent two-thirds of his monthly wages on his car.
He spent one-quarter of his monthly wages on food.
Altogether, he spent N5500.
We can set up equations based on the information given:
Amount spent on the car = (2/3) * W
Amount spent on food = (1/4) * W
Total amount spent = (2/3) * W + (1/4) * W
According to the problem, the total amount spent is N5500. Therefore, we can set up the equation:
(2/3) * W + (1/4) * W = N5500
To solve for W, we'll find a common denominator for 3 and 4, which is 12:
(8/12) * W + (3/12) * W = N5500
Combining the terms:
(11/12) * W = N5500
Now, solve for W by dividing both sides of the equation by (11/12):
W = N5500 / (11/12)
To simplify this, multiply the numerator by the reciprocal of the denominator:
W = N5500 * (12/11)
Now, calculate the value of W:
W = N6000
Therefore, the man earns N6000 in a month.
