While shopping, Jill spent six times as much as Nan. If they spent a total of $112, how much did each person spend?

so have nan's $ as x and jill spent six times so it's 6x and the fact that the total $ spent is $112 so it's 7x = 112 solve for x for nan and 6x for jill

Let's assume that Nan spent x dollars while shopping.

According to the information given, Jill spent six times as much as Nan, which means Jill spent 6x dollars.

We also know that the total amount they spent together was $112.

So, we can set up an equation: Nan's spending + Jill's spending = Total spending.

x + 6x = 112

Combining like terms, we get: 7x = 112.

To solve for x, we divide both sides of the equation by 7:

x = 112 / 7

x = 16.

Thus, Nan spent $16, and since Jill spent six times as much, Jill spent 6 * 16 = $96.

To find out how much each person spent, let's assume that Nan spent x dollars. Since Jill spent six times as much as Nan, Jill spent 6x dollars.

Now, we know that they spent a total of $112. This means that Nan's spending (x dollars) and Jill's spending (6x dollars) must add up to $112.

So, we can write an equation to solve for x:

x + 6x = $112

Combining the like terms:

7x = $112

To solve for x, we divide both sides of the equation by 7:

x = $112 / 7

x = $16

Therefore, Nan spent $16, and since Jill spent six times as much, Jill spent 6 * $16 = $96.

So, Nan spent $16, and Jill spent $96.