Question

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

Answer 1

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

Explanation:

I hope I help you.

Answer 2

Answer: D) .
`q+d=33`

`0.25q+0.1d=6`

Explanation:

We know that $1 = 4 quarters

⇒ 1 quarter =
`(1)/(4)=\$0.25`

$1 = 10 dimes

1 dime =
`(1)/(10)=\$0.1`

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.

`q+d=33`

`0.25q+0.1d=6`