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The problem of the two turkeys

The problem of the two turkeys

These two turkeys weigh twenty pounds between the two, the butcher said.

Each pound of the smallest costs two pence more than each of the largest.

Mrs. Smith bought the smallest for 82 pence and Mrs. Brown paid 2.96 pounds for the big turkey. How much did each turkey weigh?

Note: One pound is 100 pence.

Solution

The big turkey weighed sixteen pounds (at 18.5 pence a pound) and the small one four pounds (at 20.5 pence a pound).