A bag of A dozen grapefruit was selling for $6.60.The produce manager added some grapefruit to the bag but did not change the $6.60 price. The price of a dozen grapefruit now was actually $4.40.How many grapefruit were added to the bag?
Let's assume the number of grapefruit added to the bag is x.
Initially, the price per grapefruit in the bag was $6.60/12 = $0.55.
After adding x grapefruit to the bag, the price per grapefruit becomes $4.40/12 = $0.3667 (rounded to 4 decimal places).
We need to find the value of x such that the total price of grapefruit remains the same.
The total price of grapefruit before adding x grapefruit is $6.60.
The total price of grapefruit after adding x grapefruit is $4.40 + $0.3667*x.
Equating the two expressions:
$6.60 = $4.40 + $0.3667*x.
Subtracting $4.40 from both sides:
$2.20 = $0.3667*x.
Dividing both sides by $0.3667:
x = $2.20 / $0.3667.
Using a calculator, x ≈ 6.
Therefore, 6 grapefruit were added to the bag.