Will you please help me write the equation to find the number of nickels and quarters in mr. aitken’s change jar

Question

Me. Aitken empties his change jam from his room. The change jar has a total of 16$ in it comprised of only nickels and quarters. Mr Aitken has 3 times as many nickels as he does quarters. Write the system of equations you would need to find the answer. Define your variables

Answer 1

N=3Q,

5N + 25Q = 1600

5(3Q) + 25Q = 1600

40Q = 1600

Q = 1600/40 = 40 quarters = $10 worth of quarters

N = 3(40) = 120 nickels = $6 worth of nickels

10+6 = $16

120 = 3(40)