Answer:Jill has 5 dimes and 3 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes that she has in her pocket.
Let y represent the number of quarter that she has in her pocket.
There are a total of 8 coins. This means that
x + y = 8
Jill has $1.25 in her pocket. This means that
0.1x + 0.25y = 1.25 - - - - - - - - - - - 1
Substituting x = 8 - y into equation 1, it becomes
0.1(8 - y) + 0.25y = 1.25
0.8 - 0.1y + 0.25y = 1.25
- 0.1y + 0.25y = 1.25 - 0.8
0.15y = 0.45
y = 0.45/0.15 = 3
x = 8 - y = 8 - 3
x = 5
