Tuck Shop Sales
1. **State the problem:** We analyze the sales data of hotdogs and hamburgers from a double bar graph for Monday to Friday.
2. **Identify sales per day from the graph:**
- Monday: Hamburgers = 45, Hotdogs = 40
- Tuesday: Hamburgers = 40, Hotdogs = 35
- Wednesday: Hamburgers = 35, Hotdogs = 25
- Thursday: Hamburgers = 20, Hotdogs = 20
- Friday: Hamburgers = 25, Hotdogs = 20
3. **Answer each question:**
a. Each bar represents the number of items sold as above.
b. More hamburgers sold on Monday than Tuesday:
$$45 - 40 = 5$$
c. Busiest day is the day with the highest total sales:
Monday total = $$45 + 40 = 85$$
Tuesday total = $$40 + 35 = 75$$
Wednesday total = $$35 + 25 = 60$$
Thursday total = $$20 + 20 = 40$$
Friday total = $$25 + 20 = 45$$
So, Monday is the busiest day.
d. Total hotdogs sold during the week:
$$40 + 35 + 25 + 20 + 20 = 140$$
e. Fewest hamburgers sold on Thursday (20).
f. Rolls and buns are bought in dozens (12 items per dozen). Calculate dozens per day:
| Day | Hamburgers | Hotdogs | Hamburger Buns (dozens) | Hotdog Rolls (dozens) |
|---------|------------|---------|------------------------|----------------------|
| Monday | 45 | 40 | $$\lceil \frac{45}{12} \rceil = 4$$ | $$\lceil \frac{40}{12} \rceil = 4$$ |
| Tuesday | 40 | 35 | $$\lceil \frac{40}{12} \rceil = 4$$ | $$\lceil \frac{35}{12} \rceil = 3$$ |
| Wednesday| 35 | 25 | $$\lceil \frac{35}{12} \rceil = 3$$ | $$\lceil \frac{25}{12} \rceil = 3$$ |
| Thursday| 20 | 20 | $$\lceil \frac{20}{12} \rceil = 2$$ | $$\lceil \frac{20}{12} \rceil = 2$$ |
| Friday | 25 | 20 | $$\lceil \frac{25}{12} \rceil = 3$$ | $$\lceil \frac{20}{12} \rceil = 2$$ |
(g) Money taken on Monday:
- Hotdogs: 40 sold at 5.50 each
- Hamburgers: 45 sold at 8.00 each
Calculate total:
$$40 \times 5.50 = 220$$
$$45 \times 8.00 = 360$$
Total money taken:
$$220 + 360 = 580$$
(h) Sales are best on Monday possibly because it is the first day of the week when students buy more snacks after the weekend or due to special promotions.
**Final answers:**
- a: Bars represent exact sales numbers listed.
- b: 5 more hamburgers on Monday than Tuesday.
- c: Monday is busiest day.
- d: 140 hotdogs sold in the week.
- e: Fewest hamburgers on Thursday.
- f: Dozens of buns and rolls as per table above.
- g: 580 money units taken on Monday.
- h: Sales best on Monday likely due to higher demand after weekend.