martin has a combination of 33 quarters and dimes worth a total of $6. which system of linear equations can…

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?\nq + d = 6\n25q + 10d = 33\nq + d = 6\n0.25q + 0.1d = 33\nq + d = 33\n25q + 10d = 6\nq + d = 33\n0.25q + 0.1d = 6

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?\nq + d = 6\n25q + 10d = 33\nq + d = 6\n0.25q + 0.1d = 33\nq + d = 33\n25q + 10d = 6\nq + d = 33\n0.25q + 0.1d = 6

Answer

Explanation:

Step1: Count of coins

The total number of quarters ($q$) and dimes ($d$) is 33. So the first - equation is $q + d=33$.

Step2: Value of coins

A quarter is worth $0.25$ dollars and a dime is worth $0.1$ dollars. The total value of the coins is $6$ dollars. So the second - equation is $0.25q + 0.1d = 6$.

Answer:

$q + d=33$ $0.25q + 0.1d = 6$ (the last option)