Question
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?
Answers
GPT 3.5
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.
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.