I think in this situation the best method would be a guess and check. You know that there are 8 dimes more than there are nickels. So just keep increasing each number by one until you reach $1.40. If there were 9 dimes and 1 nickels it would add up to $0.95. If there were 10 dimes and 2 nickels, it would add up to $1.10. If there were 11 dimes and 3 nickels, it would add up to $1.25. If there were 12 dimes and 4 nickels, it would add up to $1.40. So your answer is 12 dimes and 4 nickels.
He saved up 64 dollars before he bought the game. First, you divide the video game cost by the amount of money he had spent(48/3). Your answer should be 16 dollars. Then, multiply by four because it is equal to the total amount of money(16*4). Your final answer should be 64 dollars.