Adamu spends 3/6 of his monthly allowance on food and1/4 on learning materials. If the amount he spends on food and materials is $330 less than his allowances,how much is his monthly allowances
Let A be Adamu's monthly allowance.
Adamu spends 3/6 * A = 1/2 * A on food.
He spends 1/4 * A on learning materials.
He spends 1/2 * A + 1/4 * A = 3/4 * A on food and materials.
The total amount he spends is A - 3/4 * A = 1/4 * A.
330 = 1/4 * A
A = 330 * 4 = <<330*4=1320>>1320 dollars. Answer: \boxed{1320}.
Let's assume Adamu's monthly allowance is X dollars.
According to the given information, Adamu spends 3/6 of his monthly allowance on food. This can be written as (3/6)X.
Additionally, Adamu spends 1/4 of his monthly allowance on learning materials. This can be written as (1/4)X.
The total amount Adamu spends on food and learning materials is $330 less than his monthly allowance:
(3/6)X + (1/4)X = X - 330
To simplify the equation, let's multiply all terms by 12 to remove the fractions:
(12/6)X + (12/4)X = 12X - 3960
Simplifying the equation further:
2X + 3X = 12X - 3960
5X - 12X = -3960
-7X = -3960
Dividing both sides by -7:
X = -3960 / -7
X = 565.71 (rounded to the nearest cent)
Therefore, Adamu's monthly allowance is approximately $565.71.