A pupil spent 1/6 of the pocket money on soda and 1/4 of the remainder on transport and was left with sh.36,000. How much money did the pupil have at first? Subject: maths
x - 1/6x - .25(x-1/6x) = 36,000
Solve for x.
J need the answer
James
Wow
To find out how much money the pupil had at first, we need to work backwards from the given information.
Let's call the initial amount of money the pupil had "x".
According to the question, the pupil spent 1/6 of the pocket money on soda. So, the amount spent on soda can be calculated as (1/6) * x.
The remainder after spending on soda would be x - (1/6) * x = (5/6) * x.
It is also mentioned that the pupil spent 1/4 of the remainder on transport. So, the amount spent on transport can be calculated as (1/4) * (5/6) * x.
The remaining amount of money after spending on transport is given as 36,000 shillings. Therefore, we can write the equation:
(5/6) * x - (1/4) * (5/6) * x = 36,000
To solve this equation, we can simplify it:
(5/6) * x - (5/24) * x = 36,000
Multiplying both sides by the least common denominator, which is 24, we get:
(20/24) * x - (5/24) * x = 36,000
Simplifying further:
(15/24) * x = 36,000
Dividing both sides by (15/24), we get:
x = 36,000 * (24/15)
Calculating this:
x = 57,600
Therefore, the pupil had 57,600 shillings at first.