Question

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?
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.