Rhianna has $5.25 in dimes and nickels for a total of 63 coins. how many dimes does she have

The number of dimes she has = 42

Step-by-step explanation:

Rhianna has $5.25 in dimes and nickels for a total of 63 coins.

Let the number of nickels be x and the dimes be y.

Since nickels = 0.05 cent and Dimes = 0.10 cent

Now we will form the equations.

10 y + .05 x = 5.25

5x + 10y = 525

x + 2y = 105 (1)

x + y = 63 (2)

By subtracting equation 2 from 1.

(x + 2y)-(x + y) = 105 - 63

x + 2y - x - y = 42

y = 42

By putting y = 42 in equation 1

x + 42 = 63

x = 63 - 42 = 21

Therefore

Number of dimes will be 42.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.