Jessica purchased a bag of cat food. She feeds her cat 1 cup of cat food each day. After 7 days, she has fed her cat 2/3 of the food in the bag. How many cups of food were in the bag of cat food when Jessica bought it?

Let x = cups of food in bag.

7 = 2/3x

Multiply both sides by 3/2.

In simplest form

10 1/2

10.5

7*2/3

Reciprocate:
7*3/2
10.5

Jessica purchased a bag of cat food. She feeds her cat 1 cup of cat food each

day. After 7 days, she has fed her cat _
2
3 of the food in the bag. How many cups
of food were in the bag of cat food when Jessica bought it?

To determine the number of cups of food in the bag when Jessica bought it, we can set up the following equation:

Let x be the total number of cups of food in the bag.
Since Jessica feeds her cat 1 cup of cat food every day for 7 days, she has fed her cat a total of 1 x 7 = 7 cups of cat food.
According to the given information, after 7 days, she has fed her cat 2/3 of the food in the bag. So, 2/3 of the total amount of food in the bag is equal to 7 cups.

Therefore, we can solve the equation:

2/3 * x = 7

To find the value of x, we can solve for x by multiplying both sides of the equation by 3/2:

(2/3 * x) * (3/2) = 7 * (3/2)

Simplifying, we have:

x = (7 * 3) / 2

x = 21/2

x = 10.5

So, there were 10.5 cups of food in the bag when Jessica bought it.