There are two more quarters than dimes, and as many nickels, as quarters and dimes together. the total amount of money is $3.75. how many quarters, dimes, and nickels are there?

There are 7 dimes, 9 quarters and 16 nickels.

Step-by-step explanation:

Let's start by defining the variables for this problem :

Q : ''number of quarters''

D : ''number of dimes''

N : ''number of nickels''

''There are two more quarters than dimes'' so we can write the following equation :

''And as many nickels, as quarters and dimes together'' so we can write the following equation :

''The total amount of money is $3.75'' so we can write the following equation :

We must solve the following system :

(I)

(II)

(III)

In the equation (II) we can find Q in terms of N and D :

(IV)

If we use (I) in (IV) :

(V)

If we use (I) and (V) in (III)

If ⇒ replacing in (I)

If we replace this values in (II) ⇒

We find that there are 7 dimes, 9 quarters and 16 nickels

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step-by-step explanation:

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following