Mike started out the day with some money in his wallet. He spent 1/6 of the money on a present for his brother. He spent 1/5 of the remaining money on a present for his sister. He spent ¼ of the remaining money on a rawhide toy for his dog. With the remaining $24 he bought 2 CD’s for himself. How much money did max start the day with in his wallet
A furniture truck leaves the warehouse to deliver furniture to an apartment in the city. The people who bought the furniture want the truck to arrive at 11 a.m. If the truck travels at 30 mph it will arrive at the apartment at 10 a.m. If the truck travels at 20 mph it will arrive at the apartment at noon. How many miles is it from the furniture warehouse to the apartment in the city?
Thank you!
oh oops im on the wrong thing sorry!
spent 1/6, leaving 5/6
spent 1/5 of that, or 1/6, leaving 4/6
spent 1/4 of that, or 1/6, leaving 3/6
so, 1/2 x = 24
x = 48
To find out how much money Mike started with in his wallet, we'll need to work backwards from the given information.
Let's denote the initial amount of money in Mike's wallet as "x" dollars.
1. Mike spent 1/6 of his money on a present for his brother. This means he has 5/6 of his original amount remaining.
Amount remaining = (5/6)x
2. Then, he spent 1/5 of the remaining money on a present for his sister. This means he has 4/5 of the previous amount remaining.
Amount remaining = (4/5) * (5/6)x = (4/6)x
3. Mike then spent 1/4 of the remaining money on a rawhide toy for his dog. This means he has 3/4 of the previous amount remaining.
Amount remaining = (3/4) * (4/6)x = (3/6)x = (1/2)x
4. After all these expenses, Mike had $24 remaining and he bought 2 CDs for himself.
This means each CD cost $12.
2 CDs * $12/CD = $24
Now we can equate the remaining amount to $24 and solve for "x" in the equation:
(1/2)x = $24
To isolate "x", we can multiply both sides of the equation by 2:
x = 2 * $24
x = $<<2*24=48>>48
Therefore, Mike started the day with $48 in his wallet.