Mrs. Browns girls scout troop had a carwash to earn some funds. they saved 1/6 of the money. They used 1/2 of the money to go horseback riding. They then had $100 left. How much did they initially make washing cars/

If you have a certain amount of money, then take away 1/6 of that amount and 1/2 of that amount, you'll have $100. So if "M" is money.

M - (1/6))M - (1/2)M = 100

1/2 is 3/6. So

M - (4/6)M = 100

(2/6)M = 100

M = 600/2

OR...$300

To find out how much Mrs. Brown's girls scout troop initially made from the carwash, we'll need to work backwards.

Let's say the initial amount they made from the carwash is x dollars.

According to the problem, they saved 1/6 of the money. This means they didn't use 1/6 of the initial amount, so the amount they had left after saving is (1 - 1/6) * x = 5/6 * x.

They then used 1/2 of the money to go horseback riding, which means they had (1 - 1/2) * (5/6) * x = 1/2 * (5/6) * x = 5/12 * x left.

We know they had $100 left, so we can set up the equation 5/12 * x = $100.

To solve for x, we need to multiply both sides of the equation by the reciprocal of 5/12, which is 12/5.

(5/12 * x) * (12/5) = $100 * (12/5).

The x's on the left side of the equation cancel out, leaving us with x = $100 * (12/5).

To find the value of x, we can multiply $100 by 12/5:

x = $100 * (12/5) = $240.

Therefore, Mrs. Brown's girls scout troop initially made $240 from the carwash.