A boy spends 7/5 of his pocket money on transportation and fruits. Of the remainder on sweets. If he is left with gh¢210.00

(a) What fraction of his money does he spend on sweet?
(b) What is his pocket money?

1 answer

Let's use 'x' to represent the boy's pocket money.

(a)

He spends 7/5 of his pocket money on transportation and fruits, leaving him with 5/5 - 7/5 = 3/5 of his pocket money to spend on sweets.

Therefore, he spends 3/5 of his money on sweets.

(b)

We know that he spends 7/5 of his pocket money on transportation and fruits.

So, 7/5x is the amount he spent on transportation and fruits.

The remainder he spent on sweets is (5/5 - 7/5)x = 3/5x.

Adding both amounts spent, we get:

7/5x + 3/5x = 10/5x = 2x

We are also told that he is left with gh¢210.00, so:

2x = gh¢210.00

Solving for x:

x = gh¢105.00

Therefore, his pocket money is gh¢105.00.

To summarize:

(a) He spends 3/5 of his money on sweets.

(b) His pocket money is gh¢105.00.