Question

Kinyua spent 1/4 of his net January salary on school fees, 1/4 of the remainder on electricity, and 1/9 of what remained. He finally had 3400 shillings. Calculate the money spent on school fees.

Answer 1

Kinyua's net salary is found to be 6800 shillings, from which he spent 1/4, or 1700 shillings, on school fees.

Step-by-step explanation:

Kinyua spent 1/4 of his net January salary on school fees. Let's define his total net salary as S. So the money spent on school fees is S/4. He remains with 3S/4 after paying the school fees. Then, he spends another quarter of the remainder on electricity, which is 1/4 of 3S/4, equivalent to 3S/16. The remaining amount after the electricity bill becomes 3S/4 - 3S/16 which simplifies to 9S/16. Finally, Kinyua spends 1/9 of what is left, so 1/9 of 9S/16, which is S/16. Subtracting this from 9S/16 leaves him with 8S/16 which is S/2. Kinyua finally had 3400 shillings left, which means S/2 = 3400, and S = 6800. Therefore, the money spent on school fees is S/4, which would be 6800/4 equalling to 1700 shillings.