Suppose you have 20 coins that total $4.some coins are nickles and sime are quarters .which of the following pairs of equations would you use to find out how many of each coin you have?
total is q+n=20 5n+25q=400 (since 100 cents=1 dollar and 4 dollares=400 cents)
SO THE 2 EQUATIONS WOULD BE n+q=20 5n+25q=400
so q+n=20 subtract q from both sides n=20-q subsitute 20-q for n in the second equation 5(20-q)+25q=400 distribute 100-5q+25q=400 add like terms 100+20q=400 subtract 100 from both sides 20q=300 divide both sides by 20 q=15