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?

Question

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.

Answer 1

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.