You have a jar of pennies and quarters. You want to choose 15 coins that are worth exactly $4.35

A. Write and solve a system of equations that models the situation
B. is your solution reasonable in terms of the original problem? explain.

Question

You have a jar of pennies and quarters. You want to choose 15 coins that are worth exactly $4.35

A. Write and solve a system of equations that models the situation
B. is your solution reasonable in terms of the original problem? explain.

anonymous · Answer

someone please help me

snowsurf · Answer

Lets have x be pennies and y be quarters

Total coins will be x + y = 15

We know that penny is 1 cent so that will be 0.01 dollars and a quarter is 0.25 dollars.

0.01x + 0.25y = 4.35

So you have two equations

 x + y = 15
0.01x + 0.25y = 4.35

Just substitute one into the other.

0.01x + 0.25 (15-x) = 4.35

Solve for x and that will give you number of pennies then you can plug x into 
x + y =15 to get number of quarters.

jdoe0001 · Answer

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