Jake had $40 more than Vick at first. Jake gave 70% to Vick. Jake now had 20% as much as Vick. How much money did Jake have at first?
They are all the same, anyway....
initially:
Vick --- x
Jake --- x+40
after the gifting:
Vick --- x+70
Jake --- x+40 - 70 = x - 30
x-30 = .2(x+70)
solve for x, then sub into x+40
Is the answer 55?
Wait I know the answer. It is 95
To solve this problem, let's break it down step by step:
1. Let's assume that Jake's initial amount of money is represented by "x" dollars.
So, his initial amount is x dollars.
2. According to the problem, Jake had $40 more than Vick at first.
This means Vick's initial amount of money is (x - $40) dollars.
Vick had x - $40 dollars.
3. The problem states that Jake gave 70% of his money to Vick.
So, Jake gave away 70/100 * x dollars to Vick, which is 0.7x dollars.
After giving this amount to Vick, Jake is left with (x - 0.7x) dollars.
4. The problem further mentions that now Jake has 20% as much money as Vick has.
This means that Jake's remaining money (x - 0.7x) dollars is 20% of Vick's money (x - $40) dollars.
Mathematically, we can represent this as: 0.2(x - $40) = (x - 0.7x)
Now we can solve this equation to find the value of x, which represents Jake's initial amount of money.
Let's solve the equation:
0.2(x - $40) = (x - 0.7x)
0.2x - 0.2($40) = x - 0.7x
0.2x - $8 = 0.3x
0.3x - 0.2x = $8
0.1x = $8
x = $8 / 0.1
x = $80
Therefore, Jake had $80 at first.
It’s actually
Jake had $40 more than Vick at first. Jake gave $70 to Vick. Jake now had 20% as much as Vick. How much money did Jake have at first?
It’s actually
Jake had $40 more than Vick at first. Jake gave $70 to Vick. Jake now had 20% as much as Vick. How much money did Jake have at first?