Robin had 4 times as much money as Shawn at first. After spending some money, Robin realized that Shawn had twice as much as he had. If Robin had $48 at first, how much did Robin have in the end?
at first, r=48, so s=12
so after spending something, Robin only had $6
Let's break down the information given step-by-step:
Step 1: Robin had 4 times as much money as Shawn at first.
Let's assume Shawn had x amount of money.
Therefore, Robin had 4x amount of money.
Step 2: After spending some money, Robin realized that Shawn had twice as much as he had.
Let's assume Robin spent y amount of money.
After spending, Robin had 4x - y amount of money.
And Shawn had 2 * (4x - y) amount of money.
Step 3: If Robin had $48 at first,
We can set up an equation:
4x = 48
Step 4: Solving the equation,
Divide both sides of the equation by 4 to isolate x:
x = 48 / 4
x = 12
So, Shawn had $12 at first.
Step 5: Using the information from Step 4, we can find how much money Robin had after spending.
After spending y amount of money, Robin had 4x - y = 4(12) - y = 48 - y.
Step 6: If Shawn had twice as much money as Robin,
We can set up an equation:
2(48 - y) = 48 - y
Step 7: Solving the equation,
Distribute 2 on the left side of the equation:
96 - 2y = 48 - y
Subtract y from both sides of the equation:
96 - 48 = -y + 2y
48 = y
So, Robin spent $48.
Step 8: Now, we can find out how much money Robin had in the end.
After spending $48, Robin had 48 - y = 48 - 48 = $0 left.
Therefore, Robin had $0 in the end.
To solve this problem, let's break it down step by step:
Step 1: Determine the initial amount of money Shawn had.
We are told that Robin had 4 times as much money as Shawn at first. Since we know that Robin had $48 at first, the initial amount of money Shawn had can be found by dividing $48 by 4.
Initial Amount of Money Shawn had = $48 / 4 = $12
Step 2: Determine the amount of money Shawn had after Robin spent some money.
We are then informed that Shawn had twice as much money as Robin when Robin realized this. Since Robin initially had $48, we can calculate Shawn's amount by doubling this.
Amount of Money Shawn had = 2 * $48 = $96
So, Robin had $96 in the end.