A collection of five coins has a value of $1 and consists of dimes and
quarters. How many of each type of coin are there?

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

We multiply the first equation by -0.10:

We have the following equivalent system:

We add the equations:

Approximately 3 quater coins

And two dimes

3 quater

2 dimes

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2