Question

Alan and Cindi pick up food donations for their local food bank from grocery stores. Alan picked up 80 more than half as many pounds of food as Cindi did. Together they picked up 455 pounds of food donations. How many pounds did each pick up?

Answer 1

x = 250

Explanation:

Let’s use x to represent the number of pounds of food that Cindi picked up. According to the problem statement, Alan picked up 80 more than half as many pounds of food as Cindi did. Therefore, Alan picked up (1/2)x + 80 pounds of food. Together, they picked up 455 pounds of food donations. This means that:

x + (1/2)x + 80 = 455

Simplifying the equation above, we get:

(3/2)x = 375

Solving for x, we get:

x = 250

Therefore, Cindi picked up 250 pounds of food, and Alan picked up 205 pounds.