Troy saved 2/3 of his paycheck and spent 1/3 of the remaining money. He was then left with $12. What was the original value of Troy's paycheck?
2/3 * 2/3 * p = 12
4/9 * p = 12
p = 9 * 3 = 27
2/3 * 1/3 = 2/9
so
2/9 x = 12
solve for x
I assumed that "remaining money" is what he saved.
Oobleck assumed that "remaining money" was what he did not save.
Who knows ?
To determine the original value of Troy's paycheck, we can work backwards from the information given.
Let's call the original value of Troy's paycheck "P".
Troy saved 2/3 of his paycheck, which means he had (1 - 2/3) = 1/3 of his paycheck remaining after saving.
He then spent 1/3 of the remaining money, which means he had (1 - 1/3) = 2/3 of the remaining money left.
We know that the remaining money is equal to $12, so we can set up the equation:
2/3 * P = $12
To solve for P, we can multiply both sides of the equation by 3/2:
2/3 * P * 3/2 = $12 * 3/2
Simplifying the equation:
P = $18
Therefore, the original value of Troy's paycheck was $18.