Problem 1

A butcher is measuring meat on his scale to fulfill a customer's order. On the right side
of the scale, the first order was "3 pounds of turkey, 4 pounds of pastrami, 17 pounds of
bologna, and 2 pounds of chicken." The customer's second order was placed on the left
side of the scale and was "4 pounds of chicken, 3 pounds of turkey, 4 pounds of
pastrami, 5 pounds of bologna." If the two orders weighed evenly at the time, what
would need to be placed on the left side to keep the scale balanced if 1 more pound of
turkey was on the right side?

1 answer

To solve this problem, we can start by finding the total weight of meat on each side of the scale.

On the right side:
3 pounds of turkey + 4 pounds of pastrami + 17 pounds of bologna + 2 pounds of chicken = 26 pounds

On the left side:
4 pounds of chicken + 3 pounds of turkey + 4 pounds of pastrami + 5 pounds of bologna = 16 pounds

Since the two orders weighed evenly before the 1 additional pound of turkey was added, the total weight on each side must have been the same. Therefore, we need to add 26 pounds - 16 pounds = 10 pounds of meat on the left side to balance the scale.