Answer:
Step-by-step explanation:
Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...
0.25q +0.10(8-q) = 1.25
0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses
0.15q = 0.45 . . . . . . . . . . . . . subtract 0.80
q = 3 . . . . . . . . . . . . . . . . . . . . divide by 0.15
the number of dimes is 8-q = 8-3 = 5.
Jill has 3 quarters and 5 dimes.
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
