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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?


A) q + d = 6
25q + 10d = 33


B) q + d = 6
0.25q + 0.1d = 33


C) q + d = 33
25q + 10d = 6


D) q + d = 33
0.25q + 0.1d = 6

Respuesta :

Answer:

q + d = 33  0.25q + 0.1d = 6

Step-by-step explanation:

I hope I help you.

JeanaShupp

Answer: D) . [tex]q+d=33[/tex]

[tex]0.25q+0.1d=6[/tex]

Step-by-step explanation:

We know that $1 = 4 quarters

⇒ 1 quarter = [tex]\frac{1}{4}=\$0.25[/tex]

$1 = 10 dimes

1 dime =[tex]\frac{1}{10}=\$0.1[/tex]

Let 'q' be the number of quarters and 'd' be the number of dimes.

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

[tex]q+d=33[/tex]

[tex]0.25q+0.1d=6[/tex]