Problem Page
Ali made
$255
for
17
hours of work.
At the same rate, how many hours would he have to work to make
$105
?
255 / 17 = $15 an hour
105 / 15 = ? hours
To find out how many hours Ali would have to work to make $105 at the same rate, we can set up a proportion using the given information.
The amount of money Ali makes is directly proportional to the number of hours he works.
Let's set up the proportion as follows:
$255 / 17 hours = $105 / x hours
The first ratio represents the amount of money Ali made divided by the number of hours he worked initially. The second ratio represents the amount of money he wants to make divided by the number of hours he needs to work.
Now we can solve for x, which represents the number of hours.
First, cross-multiply:
$255 * x hours = $105 * 17 hours
This can be simplified to:
255x = 1785
Now we can solve for x by dividing both sides of the equation by 255:
x = 1785 / 255
Calculating this gives us:
x = 7
Therefore, Ali would have to work for 7 hours to make $105 at the same rate.