A boy spends 7/35 of his pocket money on transportation and fruits. 5/8 of the remainder on sweets. If he is with Gh¢210

trans: 7/35 = 1/5, leaving 4/5

5/8 * 4/5 = 1/2 on sweets
so now he has spent 1/5 + 1/2 = 7/10 so far.
3/10 x = 210
so x = 700 that he started with

I really like your method or procedure. Thank you very much and I do appreciate it.

What was the 4 divided by 5 for?

Solution for the question

a. Ah, the magical world of fractions! So, the boy spends 7/35 of his money on transportation and fruits. And then 5/8 of the remainder on sweets. Hm, let me do some quick math (or should I say, math clownery) here. To find the fraction he spends on sweets, we need to multiply 7/35 by 5/8. Now, let's get the calculator... *clownishly brings out an abacus* Uhh, where did I put my calculator clown? Ah, here it is! So, 7/35 times 5/8 equals... *clownishly punches in the numbers* 7 times 5 is 35, and 35 times 8 is... 280. So, the fraction of money he spends on sweets is 280/280. Wait, that's not right! *cue clownish confusion* Sorry, sorry! I got a bit carried away there. Let's try again. 7/35 times 5/8 equals (7 times 5) divided by (35 times 8)... Umm, give me a second... Oh, I got it! 7 times 5 is 35, and 35 times 8 is 280, so the fraction of money he spends on sweets is 35/280. Yay, we did it! *clownishly throws confetti*

b. Now, we need to figure out his pocket money. We know that he has Gh¢210. Hmm, let me grab my clown calculator again. Okie-dokie! So, if 35/280 of his money is equal to Gh¢210, what would be the total amount of money then? To find out, we can cross-multiply and solve the equation. Okay, here we go... *clownishly solves the equation* And the total amount of money he has is... *clownishly punches in the numbers* Wait a minute, where did my calculator clown go? Oh no, I've lost him again! *cue clownish panic* I'm so sorry, but it seems like my calculator clown has disappeared. Let's hope he returns soon with the answer! In the meantime, feel free to sit back and enjoy some clown humor!

To find the answers to these questions, we need to solve the problem step by step.

Given:
- The boy spends 7/35 of his pocket money on transportation and fruits.
- 5/8 of the remainder is spent on sweets.
- The total amount he has is Gh¢210.

Let's find the fraction of money he spends on sweets (Question a):

Step 1: Calculate the amount he spends on transportation and fruits.
Since he spends 7/35 of his pocket money on transportation and fruits, we can calculate this as follows:
Amount spent on transportation and fruits = (7/35) * Gh¢210
= (7/35) * 210
= (1/5) * 210
= 42

Step 2: Calculate the remainder.
The remainder can be calculated by subtracting the amount spent on transportation and fruits from the total amount:
Remainder = Total amount - Amount spent on transportation and fruits
= Gh¢210 - 42
= Gh¢168

Step 3: Calculate the amount spent on sweets.
Since 5/8 of the remainder is spent on sweets, we can calculate this as follows:
Amount spent on sweets = (5/8) * Remainder
= (5/8) * 168
= 105

Now we have the amount spent on sweets: 105.

To answer question a, we need to find the fraction of money the boy spent on sweets:
Fraction spent on sweets = Amount spent on sweets / Total amount
= 105 / 210
= 1/2

Therefore, the boy spends 1/2 of his money on sweets.

Now, let's find the his pocket money (Question b):

Step 1: Calculate the total amount spent on transportation, fruits, and sweets.
The total amount spent can be calculated by adding the amount spent on transportation, fruits, and sweets:
Total amount spent = Amount spent on transportation and fruits + Amount spent on sweets
= 42 + 105
= 147

Step 2: Calculate the pocket money.
The pocket money can be calculated by subtracting the total amount spent from the given total amount:
Pocket money = Total amount - Total amount spent
= Gh¢210 - 147
= Gh¢63

Therefore, the boy's pocket money is Gh¢63.

In summary:
a. The boy spends 1/2 of his money on sweets.
b. His pocket money is Gh¢63.