Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$690​, how many of each denomination does he​ have?
How many $10 coins does he have?
How many $20 coins does he have?


Sagot :

He has twenty nine $10 coins and twenty $20 coins

Let x be number of $10 coins and y be number of $20 coins
x + y = 49. Number of coins
10x + 20y = 690. Value of coins

Multiply the first equation by 10
10x + 10y = 490

Subtract from the second equation
10y = 200
y = 20

Substitute into equation 1
x + 20 = 49
x = 29