Question

7. Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.(Answer the following questions based on this information.)7. Write a system of equations to represent the relationships between thenumber of nickels n. the number of quarters q, and the dollar amount inthis situation.

Answer 1

Okay

since the question said systems, this means we have to create more than just 1 equation for this we need to keep in mind that

1 nickel equals to 5 cents,

1n=5cents

which is the same as $0.05

also

1quarter equals 25 cents

1q=25cents

which is the same as $0.25

So, the system of equation would be the following:

$\begin{gathered} 0.05n+0.25q=2.75 \\ n+q=27 \end{gathered}$

where,

n is the number of nickels in his pocket, and

q the number of quarters