Dave bowers collects u.s. gold coins. he has a collection of 44 coins. some are? $10 coins, and the rest are? $20 coins. if the face value of the coins is ?$620?, how many of each denomination does he? have
Let x = number of $10 coins. The total number of coins is 44, therefore there are (44-x) $20 coins. Total value: 10x + 20(44-x) = 620 -10x + 880 = 620 -10x = -260 x = 26 (number of $10 coins) 44-x = 44-26 = 18 (number of $20 cons) Answer: 26 $10 coins 18 $20 coins
