Answer: he has 7 dimes and 9 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.
Jayden has 2 more quarters than dimes. This means that
y = x + 2
Jayden has $2.95 wroth of dimes and quarters . This means that
0.1x + 0.25y = 2.95 - - - - - - - - - - - 1
Substituting y = x + 2 into equation 1, it becomes
0.1x + 0.25(x + 2) = 2.95
0.1x + 0.25x + 0.5 = 2.95
0.35x = 2.95 - 0.5
0.35x = 2.45
x = 2.45/0.35
x = 7
y = x + 2 = 7 + 2
y = 9
