Respuesta :
Answer:
There are 211 quarters and 216 dimes
Explanation:
To answer this question, we need to properly understand what a dime is and what a quarter is. A quarter is 25 cents while a dime is 10 cents in value.
Let the number of dimes present be d and the number of quarters present be q.
We are told that he has 5 more dimes than quarters.
Mathematically, this means that:
d - q = 5 or d = q+ 5 .......(I)
The total value there is $74.35. In cents, this has a value of 7435 cents.
Mathematically:
25q + 10d = 7435......(ii)
We substitute what we have in 1 in 2
25q + 10(q+5) = 7435
25q + 10q + 50 = 7435
35q + 50 = 7435
35q = 7435-50
35q = 7385
q = 7385/35
q = 211
Recall, d = q+ 5 ; d = 211 + 5 = 216
Answer:
Quarters, $52.75
Dimes, $21.6
Explanation:
For easy solving, we are to assume.
Let number of quarters = x
Let number of dimes = x+5
(it should be noted that this isn't the price, but the number of each. In numerals, essentially)
0.10(x+5)+0.25x = 74.35
0.10x+0.50+0.25x = 74.35
0.35x = 73.85, adding moving terms and then dividing both sides by 0.35
x = 211 quarters, which is $52.75
x+5 = 216 dimes, which is $21.60
To cross check our answer, we add $52.75 + $21.60 =
The total is $74.35
