Bennett put 4/7 of his paycheck in his checking account, kept 1/2 of the remainder in cash and put the rest in his savings account. What was bennett's salary?
To find Bennett's salary, we need to work backwards from the information given.
Let's break it down step by step:
Step 1: Bennett put 4/7 of his paycheck in his checking account.
This means that 4/7 of his paycheck remained after putting it in his checking account.
Step 2: He kept 1/2 of the remainder in cash.
This means that after step 1, Bennett is left with 1/2 of the remaining amount.
Step 3: He put the rest in his savings account.
This means that after step 2, the remaining amount went into his savings account.
Now, let's assume his salary as 'x', since we don't know the exact value.
Step 1: Bennett put 4/7 of his paycheck in his checking account.
The remaining amount is (1 - 4/7) * x, which simplifies to 3/7 * x.
Step 2: He kept 1/2 of the remainder in cash.
The remaining amount after step 1 is (1/2) * (3/7 * x), which simplifies to 3/14 * x.
Step 3: He put the rest in his savings account.
The remaining amount after step 2 goes into his savings account, which is (1/2) * (3/14 * x), further simplifying to 3/28 * x.
Now, we can set up an equation based on the information given:
(1/2) * (3/14 * x) = 3/28 * x
To solve this equation, we can simplify both sides:
3/28 * x = 3/28 * x
Since both sides of the equation are the same, this means that the equation is true for any value of 'x'. Therefore, we can conclude that Bennett's salary 'x' can be any positive real number, as long as the equation holds true.
In summary, we cannot determine Bennett's exact salary based on the given information.