For their birthday twins jack and jill were each given the same amount of money. Every day jack spent $24 and jill spent $20. When jack had used up all his money, Jill still had $36 remaining. How much money was originally given to each twin?

N=number of days

N(24-20)=36
solve for N
then jacks money was N*24

Thanks for the solution but would there be a way to do it algebraically?

I think that is algebratic...

I mean like having the amount x and then x-24 idk something with variables but if not possible then thanks for helping

Why is this sooo hard

To solve this problem, let's go step by step:

Let's assume that each twin was originally given the same amount of money, and let's call it "x dollars".

Every day, Jack spends $24 and Jill spends $20.

After Jack spends all his money, Jill still has $36 remaining.

Therefore, we can set up the following equation:

x - (24 * n) = 36

where "n" represents the number of days it takes for Jack to spend all his money.

To solve for "n", we need to determine how many times $24 can be subtracted from "x" until it reaches $36.

So, we can rewrite the equation as:

24 * n = x - 36

To simplify, let's subtract "x - 36" from both sides of the equation:

24 * n - x + 36 = 0

Now, let's rewrite the equation using the information provided in the problem:

24n - x + 36 = 0

Since both Jack and Jill were originally given the same amount of money (x dollars), we can say that:

x - (20 * n) = 0

Now, let's solve this system of equations simultaneously. We can use the method of substitution.

From equation (1): 24n - x + 36 = 0

Rearranging, we get: 24n = x - 36

From equation (2): x - 20n = 0

Now, substitute x - 20n into equation (1) for x:

24n = (x - 20n) - 36

Expanding, we get: 24n = x - 20n - 36

Combine like terms: 44n = x - 36

From equation (2): x - 20n = 0

Solving equation (2) for x: x = 20n

Now, substitute 20n for x in equation (1):

44n = 20n - 36

Subtract 20n from both sides of the equation: 24n = -36

Divide by 24 to solve for n: n = -36/24

Simplifying, we get: n = -3/2

Since the number of days cannot be negative, we disregard this solution.

Therefore, there is no valid solution for the given conditions. It is not possible to determine the original amount of money given to each twin based on the given information.