Brandon has a cup of quarters and dimes with a total value of $3.80 . the number of quarters is 4 less than twice the number of dimes. how many quarters and how many dimes does brandon have

 The required number of quarters is 12 and that of dimes is 8.

Step-by-step explanation:  Given that Brandon has a cup of quarters and dimes with a total value of $3.80 . The number of quarters is 4 less than twice the number of dimes.

We are to find the number of quarters and dimes that Brandon has.

We know that

1 quarter = 0.25 dollar  and  1 dime = 0.10 dollar.

Let q and d represents the number of quarters and dimes respectively that Brandon has.

According to the given information, we have

and

Substituting the value of q from equation (ii) in equation (i), we get

And, from equation (ii), we get

Thus, the required number of quarters is 12 and that of dimes is 8.

1 and 2

step-by-step explanation: