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?
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.