Question

At the beginning of summer, Mark has $200 in savings and Ryan has $350 in savings the brothers have mowing jobs set up for the summer. Because mark is older, he receives $15 for each mowing job. The others parents pay for the fuel used to mow, so all the money the brothers earn goes to savings

Answer 1

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Answer:

• Mark: s = 200 +20j
• Ryan: s = 350 +15j
• 30 jobs

Explanation:

The amount in savings (s) will be the initial amount plus the product of the pay per job and the number of jobs (j).

Mark

He initially has $200, and is paid $20 per job. His savings will be ...

s = 200 +20j

Ryan

He initially has $350, and is paid $15 per job. His savings will be ...

s = 350 +15j

Same Savings

The savings will be the same when the difference between the amounts is zero:

s - s = 0

(200 +20j) -(350 +15j) = 0 . . . . . substitute the expressions for s

-150 +5j = 0 . . . . . collect terms

-30 +j = 0 . . . . . . . divide by 5

j = 30 . . . . . . add 30

The brothers will have the same amount in savings after they each work 30 jobs.