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Dave bowers collects u.s. gold coins. he has a collection of 50 50 coins. some are​ $10 coins, and the rest are​ $20 coins. if the face value of the coins is ​$ 740 740​, how many of each denomination does he​ have?

Respuesta :

carlosego

For this case, the first thing we must do is define variables.

We have then:

x: number of $ 10 coins

y: number of $ 20 coins

We now write the system of equations that models the problem:

[tex] x + y = 50 [/tex]

[tex] 10x + 20y = 740 [/tex]

The graphical solution (see attached image) is given by the intersection of the equations.

We have then:

 [tex] x = 26 [/tex]

[tex] y = 24 [/tex]

Answer:

Dave has:

26 $ 10 coins

24 $ 20 coins

Ver imagen carlosego