Answer:she has 5 dimes and 15 quarters.
Explanation:
A dime is worth 10 cents. Converting to dollars, it becomes
10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes that she has.
Let y represent the the number of quarters that she has
Patrice Patriot has a total of 20 coins. It means that
x + y = 20
The total worth of dimes and quarters that she has in a piggy bank is $4.25. It means that
0.1x + 0.25y = 4.25 - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
0.1(20 - y) + 0.25y = 4.25
2 - 0.1y + 0.25y = 4.25
- 0.1y + 0.25y = 4.25 - 2
0.15y = 2.25
y = 2.25/0.15
y = 15
x = 20 - y = 20 - 15
x = 5