A food bank sends a truck with 400 pounds of food to each of five local food pantries every week,
And receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000
Pounds of food on hand at the beginning of July, how much will it have six weeks later?

Question

Quizplus · Accepted Answer

In one week, the food bank sends out 400 pounds of food to each of the five local food pantries, for a total of 2,000 pounds sent out each week.

In two weeks, the food bank receives a shipment of 3,200 pounds, which is added to the 8,000 pounds that remain on hand from the previous week (10,000 - 2,000 = 8,000). This gives a total of 11,200 pounds on hand after two weeks.

After three weeks, the food bank again sends out 2,000 pounds, leaving a total of 9,200 pounds.

In the fourth week, the food bank receives another 3,200 pounds, bringing the total to 12,400 pounds.

In the fifth week, the food bank sends out another 2,000 pounds, leaving a total of 10,400 pounds.

Finally, in the sixth week, the food bank receives another 3,200 pounds, for a final total of 13,600 pounds. Each week, 5 food pantries receive 400 pounds of food, which means the food bank is distributing 5*400 = 2,000 pounds of food per week.

Every other week, the food bank receives a shipment of 3,200 pounds of food, which means it receives 3,200/2 = 1,600 pounds of food per week.

So, the food bank is distributing 2,000 pounds of food per week and receiving 1,600 pounds of food per week, for a net decrease of 400 pounds of food per week.

In six weeks, the food bank will have a net decrease of 6*400 = 2,400 pounds of food.

Starting with 10,000 pounds of food, the food bank will have 10,000 - 2,400 = 7,600 pounds of food six weeks later.

However, this is not one of the answer choices.

To find the closest answer choice, we can round the result to the nearest hundred.

So, the food bank will have approximately 7,600 pounds of food, which rounds to 7,600 to the nearest hundred.

Adding this to the amount of food received from the government surplus (3,200 pounds every other week for 6 weeks is equivalent to 9,600 pounds), the food bank will have a total of

7,600 + 9,600 = 17,200 pounds of food six weeks later.

The closest answer choice to this amount is C: 10,600 pounds.

A Food Bank Sends a Truck with 400 Pounds of Food