You have $8.80 in Pennie’s and nickels you have twice as many nickels as pennies write a system of linear equations that model the situation how many coins do you have
Question
-
Answer:Step-by-step explanation:Let p be the number of pennies and n be the number of nickels. As you have $8.80 in total (given that pennies are worth $0.01 and nickels are worth $0.05)0.01p + 0.05n = 8.80You also know that there are twice as many nickels than pennies (or alternatively, there are 2 nickels for every penny).n = 2pYou can substitute this value of n into the first equation0.01p + 0.05n = 8.800.01p + 0.05(2p) = 8.800.01p + 0.10p = 8.80 (multiplying out the brackets)0.11p = 8.80 (collecting the p’s)p = 80Putting this back into the second equationn = 2pn = 2(80) = 160So there are 160 nickels and 80 pennies.You can put this back into the first equation to check it.0.01p + 0.05n = 8.800.01(80) + 0.05(160) = 0.80 + 8 =8.80