Respuesta :
I think the first one is correct because it is exactly what the problem stated: 3 quarters (q) +3
Answer:
A: Thomas has 11 quarters.
B. Option C is the correct answer.
Step-by-step explanation:
Let q represents the number of quarters.
Let d represents the number of dimes.
Thomas has $6.35 in dimes and quarters.
1 dime= $0.10
1 quarter= $0.25
We get the equation:
[tex]0.10d+0.25q=6.35[/tex] ......(1)
The number of dimes is three more than three times the number of quarters. Equation forms:
[tex]d=3+3q[/tex] ......(2)
Substituting the value of d in (1)
[tex]0.10(3+3q)+0.25q=6.35[/tex]
=> [tex]0.30+0.30q+0.25q=6.35[/tex]
=> [tex]0.55q=6.35-0.30[/tex]
=> [tex]0.55q=6.05[/tex]
=> q = 11
And [tex]d=3+3(11)[/tex]
=> d = 36
Hence, Thomas has 11 quarters.
To know the expression that represents the value of the number of dimes in cents, we will multiply the number of dimes by 10 as 1 dime = 10 cents
[tex]d=10\times(3+3q)[/tex]
=> [tex]d=10(3+3q)[/tex]
So, option C is correct.
