Answer:the number of dimes is 22
the number of quarters is 11
Step-by-step 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.
Let y represent the number of quarters.
Daniele has 33 quarters and dimes in her piggy bank. This means that
x + y = 33
The piggy bank contains a total of $4.95. This means that
0.1x + 0.25y = 4.95 - - - - - - - - -1
Substituting x = 33 - y into equation 1, it becomes
0.1(33 - y) + 0.25y = 4.95
3.3 - 0.1y + 0.25y = 4.95
- 0.1y + 0.25y = 4.95 - 3.3
0.15y = 1.65
y = 1.65/0.15 = 11
Substituting y = 11 into x = 33 - y, it becomes
x= 33 - 11 = 22
