Question
Mo has $90.00 already saved and has a job making $8.00 per hour. Merv already has $50.00 saved and has a job making $10.00 per hour.
At what point have Mo and Merv worked the same hours to save the same amount of money?
At what point have Mo and Merv worked the same hours to save the same amount of money?
Answers
GPT 3.5
Let x be the number of hours that Mo and Merv have both worked.
Mo's total savings after x hours is $8x + $90.
Merv's total savings after x hours is $10x + $50.
Setting these two expressions equal, we get $8x + $90 = $10x + $50.
Subtracting $8x and $50 from both sides, we get $40 = $2x.
Dividing both sides by $2, we get x = 20.
Therefore, Mo and Merv have worked the same number of hours when x = 20. The total savings for both of them at this point would be $8(20) + $90 = $160 + $90 = $250.
Mo's total savings after x hours is $8x + $90.
Merv's total savings after x hours is $10x + $50.
Setting these two expressions equal, we get $8x + $90 = $10x + $50.
Subtracting $8x and $50 from both sides, we get $40 = $2x.
Dividing both sides by $2, we get x = 20.
Therefore, Mo and Merv have worked the same number of hours when x = 20. The total savings for both of them at this point would be $8(20) + $90 = $160 + $90 = $250.