A convention manager finds that she has $1540, made up of twenties and fifties. She has a total of 50 bills. How many fifty-dollar bills does the manager have?
A)50 fifty-dollar bills
B)18 fifty-dollar bills
C)12 fifty-dollar bills
D)32 fifty-dollar bills

Question

Quizplus · Accepted Answer

The correct approach involves setting up a system of equations based on the information given. Let x be the number of fifty-dollar bills and y be the number of twenty-dollar bills. We have two equations: x + y = 50 (since there are a total of 50 bills) and 50x + 20y = 1540 (since the total amount of money is $1540). Solving this system of equations, we find that x = 18, meaning there are 18 fifty-dollar bills.

A Convention Manager Finds That She Has $1540, Made Up