Please solve problems. Joanne earns $720 a week. She spends 1/3 of her money on rent and 3/4 of the remaining money on groceries. How much money does she spend on both rent and groceries?

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600

To solve this problem, we'll break it down into steps:

Step 1: Calculate the amount of money Joanne spends on rent.
We know that Joanne earns $720 a week, and she spends 1/3 of her money on rent. To find the amount spent on rent, we can multiply her earnings by the fraction representing the portion spent on rent:
Rent = (1/3) * $720

Step 2: Calculate the remaining money after paying rent.
To find the remaining money after paying rent, we need to subtract the amount spent on rent from Joanne's earnings:
Remaining money = $720 - Rent

Step 3: Calculate the amount of money Joanne spends on groceries.
We know that Joanne spends 3/4 of the remaining money on groceries. To find the amount spent on groceries, we can multiply the remaining money by the fraction representing the portion spent on groceries:
Groceries = (3/4) * Remaining money

Step 4: Calculate the total amount spent on rent and groceries.
To find the total amount spent on rent and groceries, we need to add the amount spent on rent and the amount spent on groceries:
Total spending = Rent + Groceries

Now, let's calculate the values step by step:

Step 1: Calculate the amount of money Joanne spends on rent:
Rent = (1/3) * $720
Rent = $240

Step 2: Calculate the remaining money after paying rent:
Remaining money = $720 - Rent
Remaining money = $720 - $240
Remaining money = $480

Step 3: Calculate the amount of money Joanne spends on groceries:
Groceries = (3/4) * Remaining money
Groceries = (3/4) * $480
Groceries = $360

Step 4: Calculate the total amount spent on rent and groceries:
Total spending = Rent + Groceries
Total spending = $240 + $360
Total spending = $600

Joanne spends a total of $600 on both rent and groceries.