Question

Harry earned 'd' dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?

0.2d - 10 dollars
0.2d - 50 dollars
0.16d + 10 dollars
0.16d - 10 dollars

Answer 1

To find the amount Harry spent on the video game, we need to start with the amount of money he earned, 'd' dollars. First, Harry put 20% of his earnings in the bank, then paid back $50.00 to his father. The remaining amount was spent on a video game following the given conditions.

Step-by-step explanation:

To find the amount Harry spent on the video game, we need to start with the amount of money he earned, 'd' dollars. First, Harry put 20% of his earnings in the bank, which is 0.2d dollars. Then, he paid back $50.00 to his father. The remaining amount of money after these two transactions is (d - 0.2d - 50) dollars. Finally, Harry spent one-fifth of this remaining money on a video game, which is (1/5) * (d - 0.2d - 50) dollars.

Combining like terms, we can simplify the expression to (0.2d - 10) dollars. Therefore, the expression that represents the amount Harry spent on the video game is 0.2d - 10 dollars.