Rudy worked hard all summer. Before school started he decided to go shopping and spend some of his earnings. He spent 1/3 of his money on a new shirt at HOT Fashions in the Mall. He then went to Marvin's Music and bought a cd with 1/3 of his money he had left. At movies to go, he spent 1/3 of the money he now had on a video he wanted he stopped one more time on his way home and bought a paper back at Burts Book shop with 1/3 of his remaining money. Rudy arrived home with just $16 in his wallet. How much money did he have when he started out?
its 81
To find out how much money Rudy had when he started out, we need to work backwards through the purchases he made.
Let's assume that the initial amount of money Rudy had is "X."
First, he spent 1/3 of his money on a new shirt at HOT Fashions. So, he had (2/3)X money left.
Next, he spent 1/3 of the money he had left on a CD at Marvin's Music. Therefore, he had (2/3)X * (2/3) = (4/9)X money left.
After that, he spent 1/3 of the money he now had on a video at Movies to Go. This means he had (4/9)X * (2/3) = (8/27)X money left.
Lastly, he spent 1/3 of the money he now had on a paperback book at Burts Book shop. So, he had (8/27)X * (2/3) = (16/81)X money left.
Finally, we're told that he arrived home with $16 in his wallet. So, we can set up the equation (16/81)X = 16 and solve for X.
Multiplying both sides of the equation by 81, we get: X = 81 * 16 / 16.
Simplifying, X = 81.
Therefore, Rudy had $81 when he started out.
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$432....i think
u do 16*3*3*3..i think