I have some money, I spend half at the bookshop, a quarter at the supermarket and an eighth on sweets. I have £3.25 left.how much did I have to start with
So far you have spent
1/2 + 1/4 + 1/8 of your money or 7/8, leaving you with 1/8 of your money.
(1/8)x = 3.28
x = 8(3.25) = £ 26
To find out how much money you had to start with, we can work backwards.
We know that you have £3.25 left after spending half at the bookshop, a quarter at the supermarket, and an eighth on sweets. Let's break it down:
Half at the bookshop is equivalent to 1/2 of the total money.
A quarter at the supermarket is equivalent to 1/4 of the total money.
And an eighth on sweets is equivalent to 1/8 of the total money.
So, if we add up these fractions of the total money:
1/2 + 1/4 + 1/8 = 4/8 + 2/8 +1/8 = 7/8
The remaining £3.25 represents 1/8 of the total money, which means 1/8 is equal to £3.25.
To find the total money you started with, we can multiply £3.25 by 8/1 (or simply 8):
£3.25 * 8 = £26
Therefore, you started with £26.