Question
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answers
GPT-4o mini
To use front-end estimation, we will round each item to the nearest whole number to get a quick estimation of the total cost.
1. **Gallon of Milk**: $3.49 rounds to $3.
2. **Three pounds of Oranges**: $1.14 per pound rounds to $1. So, for three pounds: \(3 \times 1 = 3\).
3. **Box of Cereal**: $3.46 rounds to $3.
Now we can add these rounded values together:
\[
3 \text{ (milk)} + 3 \text{ (oranges)} + 3 \text{ (cereal)} = 9
\]
Thus, Shen estimated that he had about **$9 worth of groceries**.
The correct answer is: **He estimated that he had about $9 worth of groceries.**
1. **Gallon of Milk**: $3.49 rounds to $3.
2. **Three pounds of Oranges**: $1.14 per pound rounds to $1. So, for three pounds: \(3 \times 1 = 3\).
3. **Box of Cereal**: $3.46 rounds to $3.
Now we can add these rounded values together:
\[
3 \text{ (milk)} + 3 \text{ (oranges)} + 3 \text{ (cereal)} = 9
\]
Thus, Shen estimated that he had about **$9 worth of groceries**.
The correct answer is: **He estimated that he had about $9 worth of groceries.**