Question

A man spends 2/7 of his weekly wage on food and 2/5 on rent. If he spends $200 on food how much does he spend on rent

Answer 1

To find out how much the man spends on rent, we need to calculate his total weekly wage and use the given fraction. By solving the equation, we find that the man's weekly wage is $700. Using the fraction provided, we can calculate the amount he spends on rent to be $280.

Step-by-step explanation:

To find out how much the man spends on rent, we need to first calculate his total weekly wage. We know that 2/7 of his wage is spent on food, and he spends $200 on food. So, if we find the total wage x, we can write the equation

2/7 × x = $200. To find x, we can solve for it:

x = $200 x 7/2 = $700.

Now that we know the man's total weekly wage is $700, we can calculate the amount he spends on rent. We are told he spends 2/5 of his wage on rent, so we can write the equation 2/5 x $700 = $280.

Therefore, the man spends $280 on rent.

Answer 2

The man spends $280 on rent if he spends 2/7 of his weekly wage on food, which costs him $200.

Step-by-step explanation:

If a man spends 2/7 of his weekly wage on food and he spends $200 on food, and he spends 2/5 of his weekly wage on rent, we can find out how much he spends on rent by first determining his weekly wage. Since 2/7 of his wage is $200, we can multiply $200 by 7/2 to find his full wage, and then multiply his full wage by 2/5 to find the portion spent on rent.

Full weekly wage = 200 × (7/2) = $700

Rent cost = 700 × (2/5) = $280

Therefore, the man spends $280 on rent.