The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75
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SOLUTION
TO CHOOSE THE CORRECT OPTION
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $ 5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit
- 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
- 3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
- 1/3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
- 1/3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
EVALUATION
Let the monthly Internet service is $ x
Now it is given that each month they received $5.50 as a credit on the bill.
So the Schwartz family spent the total amount for Internet service for 3 months
= $ 3(x + 5.50)
Now it is given that Schwartz family spent a total of $111.75 for Internet service for 3 months
So by the given condition
3(x + 5.50) = 111.75
We now solve for x
FINAL ANSWER
Hence the correct option is
3 (x + 5.50) = 111.75 ; the monthly Internet service is $31.75
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