Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how many coins of each type does she have

Answer:Number of Pennies = 30Number of Dimes = 90Step-by-step explanation:Let the number of pennies be p and number of dimes be dWe can write 2 equations and use substitution method to solve.Total value of all the coins is 9.30:We can write:0.01p + 0.1d = 9.30Note: value of penny is 0.01 and dime is 0.1, in dollarsNumber of dimes is 3 times number of pennies:We can write:d = 3pNow putting 2nd equation in first and solving for p:0.01p + 0.1(3p) = 9.300.01p + 0.3p = 9.300.31 p = 9.30p = 9.30 /0.31p = 30Now we know d = 3p, so d = 3 (30) = 90HenceNumber of Pennies = 30Number of Dimes = 90