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A Bank deposit of twenty-dollar bills and fifty-dollar bills has a total of 70 bills. The amount of the deposit was $3200. How many of each kind of bill was deposite?

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Final answer:

The question involves solving a system of linear equations to find out the number of twenty-dollar and fifty-dollar bills in a deposit totaling 70 bills and $3200 in value.

Step-by-step explanation:

The student is tasked with solving a system of linear equations to determine how many twenty-dollar bills and fifty-dollar bills make up a bank deposit totaling 70 bills worth $3200. We set up two equations based on the given information. Let x be the number of twenty-dollar bills and y be the number of fifty-dollar bills. Therefore, we can establish the following equations:

Equation 1 (representing the total number of bills):
x + y = 70

Equation 2 (representing the total value of the bills):
20x + 50y = 3200

By solving this system, we can find the values of x and y that satisfy both equations.

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