SOLUTION: Mark and Verna are saving to buy their mother a ring for her birthday. The ring costs @126.75. Mark delivers pizza making $8.50 per hour. Verna baby sits and makes $10 per hour. Ho

Algebra ->  Human-and-algebraic-language -> SOLUTION: Mark and Verna are saving to buy their mother a ring for her birthday. The ring costs @126.75. Mark delivers pizza making $8.50 per hour. Verna baby sits and makes $10 per hour. Ho      Log On


   



Question 698228: Mark and Verna are saving to buy their mother a ring for her birthday. The ring costs @126.75. Mark delivers pizza making $8.50 per hour. Verna baby sits and makes $10 per hour. How many hours will Mark and Verna each need to work in order to pay for the ring for their mother?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = hrs Mark worked
Let +b+ = hrs Verna worked
+8.5a+%2B+10b+=+126.75+
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There are 2 unknowns and only 1 equation, so
it's not directly solvable, but an extra clue is that
the +8.5+ must get multiplied by +1.5+,
+3.5+, +5.5+, etc up to +13.5+
Suppose Mark works +13.5+ hrs
+8.5%2A13.5+=++114.75+
+126.75+-+114.75+=+12+
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If he works +11.5+ hrs
+8.5%2A11.5+=+97.75+
+126.75+-+97.75+=+29+
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If he works +9.5+ hrs
+8.5%2A9.5+=+80.75+
+126.75+-+80.75+=+46+
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If he works +5.5+ hrs
+8.5%2A5.5+=+46.75+
+126.75+-+46.75+=+80+
This works
Mark works 5.5 hrs and Verna works 8 hrs
check:
+8.5%2A5.5+%2B+10%2A8+=+46.75+%2B+80+
+46.75+%2B+80+=+126.75+