Month Average Price per Dozen
Month Average Price
per Dozen
April $1.10
May $1.20
June $1.08
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
Answer/Solution
1.12
Steps/Work
Say x dozen eggs were sold in May.
Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.
Total x+2x/3+4x/3=3x dozen eggs were sold in three months.
Total sales: 2x/3*1.1+x*1.2+4x/3*1.08=$3.373x. The average price per dozen 3.37x/3x=$1.124.
A
Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.
Total x+2x/3+4x/3=3x dozen eggs were sold in three months.
Total sales: 2x/3*1.1+x*1.2+4x/3*1.08=$3.373x. The average price per dozen 3.37x/3x=$1.124.
A