Alfred spent 1/4 of his money on food,1/3 on clothing and saved the rest.If he saved #72,000.How much did he spend on food?

the rest would be 1 - 1/4 - 1/3 = 5/12

so (5/12)x = 72000
x = 72000(12/5) = 172800

spend on food = (1/4)(172800) = 43200

curious what currency # is.

jnkjn

To find out how much Alfred spent on food, we need to calculate the total amount of money he has. Let's break down the problem step by step:

1. Let's assume the total amount of money Alfred had at the beginning is "X".

2. According to the problem, Alfred spent 1/4 of his money on food. Therefore, he spent (1/4) * X on food.

3. Alfred also spent 1/3 of his money on clothing. So, he spent (1/3) * X on clothing.

4. Lastly, we know that Alfred saved the rest of his money, which is equal to the total amount of money he had minus the amount he spent on food and clothing. Therefore, he saved X - [(1/4) * X + (1/3) * X].

5. We are given that Alfred saved #72,000. So, we can set up the equation: X - [(1/4) * X + (1/3) * X] = 72,000.

6. Now, let's solve the equation to find the value of X:

X - (1/4)X - (1/3)X = 72,000
Multiplying all terms by 12 to clear the fractions:
12X - 3X - 4X = 72,000 * 12
5X = 72,000 * 12
Dividing both sides by 5:
X = (72,000 * 12) / 5

7. Calculating the value of X:
X = 172,800

Now that we know the total amount of money Alfred had initially (X), we can find out how much he spent on food:

Amount spent on food = (1/4) * X
= (1/4) * 172,800
= 43,200

Therefore, Alfred spent #43,200 on food.

a man spend 2/3 of his salary on food,1/5 on clothing,1/8 other expenses and save the rest. what fraction of his salary did he save