a man spends 3/5 of his money in food and 1/4 of his money on clothes. if he has £47.40 left how much did he start with?
M(1-(3/5+1/4))= leftamount
M(1-.6-.25)=leftamount
M=leftamount/.15
To find out how much money the man started with, you can follow these steps:
1. Calculate the total amount of money the man spent on food and clothes.
Since the man spent 3/5 of his money on food and 1/4 of his money on clothes, you need to find the sum of these two fractions:
3/5 + 1/4
To add fractions, you need to find a common denominator, which in this case is 20.
2. Convert both fractions to have a denominator of 20.
Multiply the numerator and denominator of 3/5 by 4:
(3/5) * 4/4 = 12/20
Multiply the numerator and denominator of 1/4 by 5:
(1/4) * 5/5 = 5/20
3. Add the converted fractions:
12/20 + 5/20 = 17/20
This means the man spent 17/20 of his original money on food and clothes.
4. Calculate the remaining money.
If the man now has £47.40 left, this amount represents 3/20 (1 - 17/20) of his original money.
To find out how much each 1/20 represents, divide £47.40 by 3:
£47.40 / 3 = £15.80
5. Determine the original amount of money the man had.
Since each 1/20 corresponds to £15.80, multiply £15.80 by 20 to find out the original amount of money:
£15.80 * 20 = £316
Therefore, the man initially had £316.