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Find the solution that makes sense.

piggy bankJohn could contribute no more than 6 times the amount of money his Uncle Sam added to savings minus the $20 John gave his mother each week. Sam added $7 and John added $5 each week to savings for a total of more than $250.

Solve the problem by graphing and identify the solutions that are not viable. Explain why they are not viable.

J \(\small\mathsf{ \geq}\) 6S - 20
7S + 5J > 250

The solution to this problem is in the overlapping shaded area. Any solution in which Uncle Sam added more than $40 is nonviable because the values for John would be negative if Sam added more than $40. John cannot contribute a negative amount.