A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system of equations models this situation, where x is the number of nickels and y is the number of quarters.

How many nickels and quarters are in the container?

A.
118 nickels and 38 quarters

B.
106 nickels and 50 quarters

C.
87 nickels and 69 quarters

D.
72 nickels and 84 quarters

Question

A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system of equations models this situation, where x is the number of nickels and y is the number of quarters.
 
 
 
How many nickels and quarters are in the container?
 
 A.
118 nickels and 38 quarters
 
 B.
106 nickels and 50 quarters
 
 C.
87 nickels and 69 quarters
 
 D.
72 nickels and 84 quarters

anonymous · Answer

@BarfBag

anonymous · Answer

i dunno plz help if u dont know it is ok

anonymous · Answer

@calculusxy

calculusxy · Answer

It's basically using the system of equations. I will set you up with the main two equations to solve:
$$\large x + y = 156$$
$$\large 0.05x + 0.25y = $21.60$$

anonymous · Answer

Well then, there you have it!

anonymous · Answer

Hint: $$y=156-x$$
Insert that into the other equation to solve.

anonymous · Answer

Basically, you want to render the equation 0.06 + 0.25y = $21.60 in either only the x-variable or the y-variable.

anonymous · Answer

0.05x*