You have a piggy bank containing a total of 47 coins in dimes and quarters. If the piggy bank contains ​$8.00​, how many dimes are there in the piggy​ bank?

Question

You have a piggy bank containing a total of 4747 coins in dimes and quarters. If the piggy bank contains $nbsp 8.00 8.00 , how many dimes are there in the piggy bank?

Answer 1

Let the number of dimes = x

Let the number of quarters = y

 

You know that each dime is worth $0.10

You know that each quarter is worth $0.25

 

Using the variables above, we can write two equations that represents the total number of coins and total amount.

 

x + y = 47                               eq1

0.10x + 0.25y = 8                    eq2

 

You can use the substitution/elimination method to solve for x and y.