Kat has 19 coins, all quarters and dimes, that are worth a total of $4. the system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown. q d=190.25q 0.1d=4how many quarters does she have?

Given:
quarters and dimes ; 19 pcs
total value of quarters and dimes is 4

q + d = 19
0.25q + 0.10d = 4

q = 19 - d
0.25(19 - d) + 0.10d = 4
4.75 - 0.25d + 0.10d = 4
-0.15d = 4 - 4.75
-0.15d = -0.75
d = -0.75/ -0.15
d = 5

q = 19 - d
q = 19 - 5
q = 14

There are 5 pieces of dimes and 14 pieces of quarters.

The answer is 10 bud