Answer:
Explanation:
To find the number of hours David has to work at each job, we can set up an equation. Let's say David works x hours at the first job and y hours at the second job. Then, we have:
14x + 11y = 1000
Next, we need to find the possible combinations of x and y that satisfy this equation. To do this, we can use trial and error, or use the substitution method. Let's use the latter method. Solve for x in terms of y:
14x = 1000 - 11y
x = (1000 - 11y) / 14
Now, we can substitute this expression for x into the original equation to get a new equation in terms of y:
11y = 1000 - 14x
y = (1000 - 14x) / 11
We can use this equation to find possible values of y. For example, if x = 40 hours, then y = (1000 - 14 * 40) / 11 = (1000 - 560) / 11 = (440) / 11 = 40. So, David could work 40 hours at the first job and 40 hours at the second job to earn $1000.
We can repeat this process for other values of x to find more combinations. Some possible combinations of the numbers of hours David could work at each job to earn $1000 are:
40 hours at the first job and 40 hours at the second job
45 hours at the first job and 35 hours at the second job
50 hours at the first job and 30 hours at the second job
55 hours at the first job and 25 hours at the second job
60 hours at the first job and 20 hours at the second job, etc.