Maina spent 1/3 of his net salary on school fees. He spent ¼ of the remainder on rent he then spent 1/8 of

Question

Create an engaging image illustrating a scenario of budget allocation. Start with a casual setting of a man, identified as Maina, juggling bills and responsibilities. First, the man, a Middle-Eastern individual, deducts a portion (1/3) of his budget, which is visually represented by a traditional money bag being poured into a school stationery, perhaps books and a graduation cap. With the remainder of the budget, 1/4 is channelled towards a household symbol such as a simple house icon which signifies his rent payment. Then, he reserves 1/8 of the left amount for a transport symbol, depicted by a common mode of transport in the Middle-East, such as a camel or a bus. Lastly, after all deductions, show a small portion of the budget left, symbolised by a money bag labelled 4200 sh. The image should be full of life, lively colours and should visually convey the idea of budget planning and allocation.

Maina spent 1/3 of his net salary on school fees. He spent ¼ of the remainder on rent he then spent 1/8 of

what was left on transport .If finally, he had sh.4200 what was his net salary.

Answer 1

Let's work through the problem step by step:

Let's say Maina's net salary is represented by x.

Maina spent 1/3 of his net salary on school fees, which is (1/3)x.
This means he had 2/3 of his net salary left.

He then spent 1/4 of the remainder on rent, which is (1/4)(2/3)x = (2/12)x.
This means he had 10/12 or 5/6 of his net salary left.

He then spent 1/8 of what was left on transport, which is (1/8)(5/6)x = (5/48)x.
This means he had 43/48 of his net salary left.

Finally, we know that he had sh.4200 left, so we can set up the following equation:

(43/48)x = 4200

To solve for x, we can multiply both sides of the equation by 48/43:

(43/48)x * (48/43) = 4200 * (48/43)
x = 4800

Therefore, Maina's net salary is sh.4800.