John took all his money from his savings account. He spent $154 on a radio and 4/7 of what was left on presents for his friends. Of the money remaining, John put 6/11 into a checking account and the last remaining $300 was left to charity. How much money did John originally have in his savings account?

Question

John took all his money from his savings account. He spent $154 on a radio and 4/7 of what was left on presents for his friends. Of the money remaining, John put 6/11 into a checking account and the last remaining $300 was left to charity. How much money did John originally have in his savings account?

Answer 1

savings balance = x

radio = 154
friends = 4/7 (x-154)
checking = 3/7 (x - 154) * 6/11
charity = 300
so,
x = 154 + 4/7 (x-154) + 3/7 (x - 154) * 6/11 + 300
so now just solve for x.

Answer 2

Oh boy, John really went on a spending spree, huh? Let me put on my clown hat and do some math for you.

Let's call the amount of money John originally had in his savings account "X."

First, John spent $154 on a radio, which means he had X - 154 dollars left.

Next, he spent 4/7 of what was left on presents for his friends. So we can say he spent (4/7)(X - 154) dollars.

After that, John put 6/11 of the remaining money into his checking account, which means he had (6/11)[(X - 154) - (4/7)(X - 154)] dollars left.

Lastly, John donated the last remaining $300 to charity, so we have the equation (6/11)[(X - 154) - (4/7)(X - 154)] - 300 = 0.

If you solve this equation, you'll find the original amount of money in John's savings account. Good luck!

Answer 3

Let's calculate step-by-step.

1. John spent $154 on a radio.
2. Let's assume the amount of money left after buying the radio is x dollars.
3. John spent 4/7 of x on presents for his friends. So, the amount of money left after buying presents is (1 - 4/7) * x = (3/7) * x dollars.
4. John put 6/11 of the remaining amount into a checking account, which means he kept (1 - 6/11) times the remaining amount. So, the amount of money left after putting money into the checking account is (5/11) * (3/7) * x = (15/77) * x dollars.
5. The remaining $300 was given to charity, which means (15/77) * x = $300.
6. To find x, we'll multiply both sides of the equation by (77/15) to cancel out the fraction, giving us x = (15/77) * $300.

Let's calculate x.

Answer 4

To find out how much money John originally had in his savings account, we need to work backward from the given information.

Let's break down the steps:

1. John spent $154 on a radio. This means the money left after this purchase is the original amount minus $154.

2. Next, John spent 4/7 of what was left on presents for his friends. To calculate this amount, we need to multiply the remaining money (from step 1) by 4/7.

3. After buying presents for his friends, John put 6/11 of the money remaining into a checking account. To calculate that amount, multiply the remaining money (from step 2) by 6/11.

4. Finally, it is mentioned that the last remaining $300 was left to charity. This means the remaining money (after step 3) is equal to $300.

Now we can solve step by step:

Step 1:
Let "x" be the original amount in John's savings account.
After spending $154 on a radio, the remaining money is x - $154.

Step 2:
John spent 4/7 of the remaining money on presents for his friends. So the amount spent on presents is (4/7) * (x - $154), and the remaining money after this step is (x - $154) - (4/7) * (x - $154).

Step 3:
John put 6/11 of the remaining money into a checking account. So the amount put into the checking account is (6/11) * [(x - $154) - (4/7) * (x - $154)], and the remaining money after this step is [(x - $154) - (4/7) * (x - $154)] - (6/11) * [(x - $154) - (4/7) * (x - $154)].

Step 4:
The last remaining $300 was left to charity. So we have the equation:
[(x - $154) - (4/7) * (x - $154)] - (6/11) * [(x - $154) - (4/7) * (x - $154)] = $300.

Now we can solve this equation to find the original amount "x."