Mathematics

# Write and solve a system of equations that represents each situation. Interpret the solution.  Neil has a total of twelve $5 and$10 bills in his wallet. He has 5 times as many $10 bills as$5 dollar bills. How many of each does he have?

#### shaun1

4 years ago

x - $5 bills y -$10 bills

x + y = 12
y = 5x

x + (5x) = 12
6x = 12
x = 2

y = 5(2)
y = 10

10 $10 bills and 2$5 bills

#### rishimisra15

4 years ago

Let $5 bills be denoted by x and$10 bills be denoted by y.

$x + y = 12 \\ y = 5x \\ \\ x + (5x) = 12 \\ \\ 6x = 12 \\ \\ => x = 2 \\ \\ y = 5x \\ \\ or, y = 5(2) \\ \\ => y = 10$

Thus, there are 2 5$bills and 10 10$ bills.