Answer:
- a) j+c=310; j-c=40
- b) (j, c) = (175, 135)
- see attached
- Jose earned $175; Camden earned $135
Step-by-step explanation:
Let j and c represent Jose's and Camden's earnings, respectively.
(a) One equation can be written for the total; another for the difference:
j + c = 310 . . . . their total earnings
j - c = 40 . . . . . the difference in their earnings
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(b) It is convenient to add these two equations to eliminate c:
(j +c) +(j -c) = (310) +(40)
2j = 350
j = 175
Then c can be found as ...
c = j -40 = 175 -40 = 135
The solution is (j, c) = (175, 135).
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(c) Using x for j, and y for c, we can use Desmos to graph the equations. The result is attached.
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(d) Jose earned $175 over the summer; Camden earned $135.
