Answer: she has 17 quarters
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of quarters that she saved.
Let y represent the number of one-dollar coins that she saved.
Emily saved 25 coins. This means that
x + y = 25
If she had a total of $12.25, it means that
0.25x + y = 12.25 - - - - - - - - - - - 1
Substituting x = 25 - y into equation 1, it becomes
0.25(25 - y) + y = 12.25
6.25 - 0.25y + y = 12.25
- 0.25y + y = 12.25 - 6.25
0.75y = 6
y = 6/0.75
y = 8
x = 25 - y = 25 - 8
x = 17
