1. 73 dogs are at the ASPCA awaiting adoption. Of them, 22 are Labradors, 42 are black dogs, and 12 are black Labradors. a) Draw a Venn diagram to illustrate the situation. b) How many dogs are not black? 81 c) How many dogs are not Labradors?

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I'm terrible at Venn diagrams. I think I'm on the right track but not sure

## Problem 1: Dogs at the ASPCA

**Situation:**  
73 dogs are at the ASPCA awaiting adoption. Of these, 22 are Labradors, 42 are black dogs, and 12 are black Labradors.

### a) Draw a Venn diagram to illustrate the situation.

- A Venn diagram is provided with three intersecting circles labeled for the total dogs, Labradors, black dogs, and black Labradors.  

### b) How many dogs are not black?

- **Answer:** 31

### c) How many dogs are not Labradors?

- **Answer:** 51

### d) How many dogs are not black Labradors?

- **Answer:** 18

### e) How many Labradors that are not black?

- **Answer:** 10

**Notes:**  
- The notes next to the diagram state:
  - 10 Labradors are not black.
  - 30 are black dogs.
  - 31 dogs are not black Labradors.
  - 12 are black Labradors.

---

## Problem 2: Cars in a Parking Lot

**Situation:**  
275 cars are in a parking lot. Of these, 120 are blue, 91 are SUVs, and 200 have Colorado license plates. There are 52 blue SUVs, 62 are blue with Colorado license plates, and 41 SUVs have Colorado license plates. There are 12 blue SUVs with Colorado license plates.

### a) Draw a Venn diagram to illustrate the situation.

- A rectangular space is provided for drawing a Venn diagram, with circles expected to represent blue cars, SUVs, and cars with Colorado license plates.

### b) How many cars are neither blue nor an SUV nor has a CO plate?

- Circle the answer in the final solution area.

### c) How many have CO plates and are not blue?

- Answer in the final solution area.

### d) How many are blue, but not an SUV?

- **Answer:** 39 SUVs as written in the notes.

**Notes:**
- Next to the diagram, it's stated that you should fill in with the categories and intersections of blue cars, SUVs, and those with Colorado plates once calculations are complete.
Transcribed Image Text:## Problem 1: Dogs at the ASPCA **Situation:** 73 dogs are at the ASPCA awaiting adoption. Of these, 22 are Labradors, 42 are black dogs, and 12 are black Labradors. ### a) Draw a Venn diagram to illustrate the situation. - A Venn diagram is provided with three intersecting circles labeled for the total dogs, Labradors, black dogs, and black Labradors. ### b) How many dogs are not black? - **Answer:** 31 ### c) How many dogs are not Labradors? - **Answer:** 51 ### d) How many dogs are not black Labradors? - **Answer:** 18 ### e) How many Labradors that are not black? - **Answer:** 10 **Notes:** - The notes next to the diagram state: - 10 Labradors are not black. - 30 are black dogs. - 31 dogs are not black Labradors. - 12 are black Labradors. --- ## Problem 2: Cars in a Parking Lot **Situation:** 275 cars are in a parking lot. Of these, 120 are blue, 91 are SUVs, and 200 have Colorado license plates. There are 52 blue SUVs, 62 are blue with Colorado license plates, and 41 SUVs have Colorado license plates. There are 12 blue SUVs with Colorado license plates. ### a) Draw a Venn diagram to illustrate the situation. - A rectangular space is provided for drawing a Venn diagram, with circles expected to represent blue cars, SUVs, and cars with Colorado license plates. ### b) How many cars are neither blue nor an SUV nor has a CO plate? - Circle the answer in the final solution area. ### c) How many have CO plates and are not blue? - Answer in the final solution area. ### d) How many are blue, but not an SUV? - **Answer:** 39 SUVs as written in the notes. **Notes:** - Next to the diagram, it's stated that you should fill in with the categories and intersections of blue cars, SUVs, and those with Colorado plates once calculations are complete.
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