Ingrid collected 6 cans of food and 18 boxes of food for the food bank. Which describes the relationship between cans of food and boxes of food?

Question

Ingrid collected 3 times as many cans as she did boxes.
For every 6 boxes of food Ingrid collected, she also collected 18 cans of food.
For every 18 boxes of food Ingrid collected, she also collected 24 cans of food.
Ingrid collected 3 times as many boxes as she did cans.

Answer 1

To analyze the relationship between the cans of food and the boxes of food that Ingrid collected, let's look at the quantities given:

• Cans of food: 6
• Boxes of food: 18

1. Ingrid collected 3 times as many cans as she did boxes.
   This statement is incorrect because 6 is not 3 times 18.

2. For every 6 boxes of food Ingrid collected, she also collected 18 cans of food.
   This statement can be evaluated by finding a simplified ratio. The ratio of boxes to cans is 18 boxes for every 6 cans, which simplifies to a 3:1 relationship (18/6 = 3). Thus, this statement is not correct because she collected 18 boxes, not 6.

3. For every 18 boxes of food Ingrid collected, she also collected 24 cans of food.
   This is incorrect as Ingrid only collected 6 cans and 18 boxes.

4. Ingrid collected 3 times as many boxes as she did cans.
   This is also incorrect, as 18 is not 3 times 6.

The correct relationship based on the numbers provided is that for every 1 can of food, Ingrid collected 3 boxes of food (6 cans vs 18 boxes implies a ratio of 1 can to 3 boxes).

None of the provided options accurately describe the relationship.