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

69.64%

step-by-step explanation:

32

step-by-step explanation: