1. Adamu spends 3/5 of his monthly allowance on food and 1/4 on learning materials. If the amount he spends on food and learning materials is N330 less than his allowance, how much is his monthly allowance?

1 answer

Let Adamu's monthly allowance be represented by A.

From the given information, he spends 3/5 of his monthly allowance on food and 1/4 on learning materials.

Therefore, he spends (3/5)A on food and (1/4)A on learning materials.

The amount he spends on food and learning materials is N330 less than his allowance, so we can write the equation (3/5)A + (1/4)A = A - N330.

Multiplying through by 20 to eliminate the fractions, we get 12A + 5A = 20A - 6600.

Simplifying, we have 17A = 20A - 6600.

Combining like terms, we have 3A = 6600.

Dividing both sides by 3, we get A = 6600/3 = N2200.

Therefore, Adamu's monthly allowance is N2200. Answer: \boxed{2200}.