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4 years ago

He uses 41-cent stamps and 8-cent stamps to pay $2.77 in postage. How many of each stamp did Scott use?

Business

1 answer:

marin [14]4 years ago

8 0

Answer:Number of 8 cent stamp =9

Number of 41 cent stamp = 5

Explanation: Explanation: Let x= number of 41 cent stamp

Let y= number of 8 cent stamp

Total postage fee =$2. 77 = 277cent

Combining both, we have:

41x + 8y = 277

We can vary or iterate the value of x using different integer values to find y(must also be an integer) as the number of stamps can't be decimal.

If y=1

41x + 8 = 277, x =6.56(not possible)

If y=2

41x + 16 = 277, x =6.365(impossible)

If y=3

41x + 24 = 277, x =6.17(impossible)

If y=4

41x + 32 = 277, x=5.98(impossible)

If y=5

41x + 40 = 277, x=5.78(impossible)

If y=6

41x + 48 = 277, x= 5.58(impossible)

If y=7

41x + 56 = 277, x=5.39(impossible)

If y=8

41x +64 = 277, x=5.20(impossible)

If y=9

41x + 72 = 277, x=5.

At this point its safe to conclude that y = 9, x = 5

Number of 8 cent stamp = 9

Number of 41 cent stamp = 5

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