James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?

James has 55 dimes in the bagStep-by-step explanation:The given is:James has in a bag 77 of nickels and dimesThe total value of coins is $6.60We need to find how many dimes James hasAssume that the number of nickels is x and the number of dimes is y in the bag∵ There are x nickels in the bag∵ There are y dimes in the bag∵ There are 77 coins in the bag∴ x + y = 77 ⇒ (1)∵ 1 nickel = 5 cents∴ The value of nickles in the bag = 5x cents∵ 1 dime = 10 cents∴ The value of dimes in the bag = 10y cents∵ The total value of coins is $6.60∵ 1 dollar = 100 cents∴ $6.60 = 6.60 × 100 = 660 cents∴ 5x + 10y = 660 ⇒ (2)Now we have a system of equations to solve itMultiply equation (1) by -10 to eliminate y∵ -10x - 10y = -770 ⇒ (3)- Add equations (2) and (3)∴ -5x = -110- Divide both sides by -5∴ x = 22Substitute the value of x in equation (2) to find y∵ 22 + y = 77- Subtract 22 from both sides∴ y = 55∴ The number of dimes is 55James has 55 dimes in the bagLearn more:You can learn more about the system of equations in brainly.com/question/6075514#LearnwithBrainly