Question 295061
The bowl contained 150 coins. if they were all pennies and nickels and their total value was $2.70, how many coins of each type were there?

Let p = penny and n = nickels
p + n = 150
p + 5n = 270   [pennies are 1cent and nickels are 5 cents]
Use the elimination method
Subtract equation two from equation one
-4n = -120
Divide both sides by -4
n = 30
If there are 30 nickels, there must be 120 pennies.