Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

q + d = 6 25q + 10d = 33
q + d = 6 0.25q + 0.1d = 33
q + d = 33 25q + 10d = 6
q + d = 33 0.25q + 0.1d = 6

Respuesta :

Answer:

q + d = 33  0.25q + 0.1d = 6 Option D

Step-by-step explanation:

The system of linear equation that can be used to find the number of quarters, q, and the number of dimes, d, Martin has is as follows:

q + d = 33

0.25q + 0.1d = 6

Martin has a combination of 33 quarters and dimes worth a total of $6.

Therefore,

q = number of quarters

d = number of dimes

The linear equation can be represented below:

0.1 dollars = 1 dime

0.25 dollars = 1 quarters

Therefore,

0.25q + 0.1d = 6

The quarters and dimes total 33. Therefore,

  • q + d = 33

Therefore, the combined equation will be as follows:

q + d = 33

0.25q + 0.1d = 6

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