You have 42 coins valued at $6.00. Some of the coins some are quartersFind the number you have of each. Set up and solve a system of equations needed to solve the problem.

Complete Question

Mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6. How many of each type of coin does he have?

The number of dimes = d = 30 dimes

The number of quarters = q = 12 quarters

Step-by-step explanation:

Let us represent

The number of dimes = d

The number of quarters = q

A dime is worth 10 cents = 0.10d

A quarter is worth 25 cents = 0.25q

Mark has 42 coins consisting of dimes and quarters.

q + d = 42 Equation 1

q = 42 - d

The total value of his coins is $6.

0.1d + 0.25q = 6

We substitute 42 - d for q

0.1d + 0.25(42 - d) = 6

0.1d + 10.5 - 0.25d = 6

10.5 - 6 = 0.25d - 0.1d

4.5 = 0.15d

d = 4.5/0.15

d = 30 dimes

Solving for q

q = 42 - d

q = 42 - 30

q = 12 dimes

Therefore,

The number of dimes = d = 30 dimes

The number of quarters = q = 12 quarters

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

24+x=y

step-by-step explanation: