Jake spent 3/80 of his money on a DvD and 1/2 of what was left on a sandwich. He now has $6.25. How much money did he start with?
I meant 3/8 of his money
let the original amount be x
he spent 3x/8, leaving him with 5x/8
he spends half of that , leaving him with 5x/16
5x/16 = 6.25
5x = 100
x = 20
He started with $20.00
check: he spends (3/8)(20) or $7.50, leaving him with $12.50
He has 1/2 of that left or (1/2)(12.50) = $6.25
My answer is correct
To find out how much money Jake started with, we can work backward from the final amount he has, $6.25.
Let's start by figuring out how much money Jake had after buying the sandwich. We know he spent 1/2 of what was left after buying the DVD, so we need to find the amount that was left after buying the DVD.
To do that, we can use the fact that Jake spent 3/80 of his money on the DVD. This means that 3/80 of his money is equal to the amount he spent on the DVD.
Let's represent the whole amount of money Jake started with as "x". Therefore, we can set up the equation:
3/80 * x = amount spent on the DVD
To find the amount left after buying the DVD, we subtract the amount spent from the total amount:
x - (3/80 * x) = amount left after buying DVD
Simplifying the equation:
(80/80 * x) - (3/80 * x) = amount left after buying DVD
(77/80 * x) = amount left after buying DVD
Now, we know that Jake spent 1/2 of the amount left after buying the DVD on the sandwich. So, we need to calculate that amount:
(1/2) * (77/80 * x) = amount spent on the sandwich
Finally, we subtract the amount spent on the sandwich from the amount left after buying the DVD to find how much money Jake has now:
amount left after buying DVD - amount spent on the sandwich = $6.25
Now, we can solve this equation to find the value of "x," which represents the initial amount of money Jake started with.