Answer: she has 40 dimes and 160 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.
Let y represent the number of quarters that she has.
Samantha cruz has 200 coins ( quarters and dimes). This means that
x + y = 200
she has $44.00. This means that
0.1x + 0.25y = 44 - - - - - - - - - - - 1
Substituting x = 200 - y into equation 1, it becomes
0.1(200 - y) + 0.25y = 44
20 - 0.1y + 0.25y = 44
- 0.1y + 0.25y = 44 - 20
0.15y = 24
y = 24/0.15
y = 160
x = 200 - y = 200 - 160
x = 40
