1. **Problem statement:** We are given the number of cupcakes sold from Monday to Friday and some information about Saturday and Sunday sales. We need to find:
(a) The total cupcakes sold from Monday to Friday.
(b) The number of cupcakes sold on Sunday given the average for the week is 16.
(c) Draw a pictogram for Tuesday's sales where each symbol ⊕ represents 4 cupcakes.
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2. **(a) Total cupcakes sold Monday to Friday:**
Given:
- Monday = 14
- Tuesday = 17
- Wednesday = 19
- Thursday = 15
- Friday = 11
Total = $14 + 17 + 19 + 15 + 11$
Calculate:
$$14 + 17 = 31$$
$$31 + 19 = 50$$
$$50 + 15 = 65$$
$$65 + 11 = 76$$
So, total cupcakes sold from Monday to Friday = $76$ cupcakes.
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3. **(b) Find Sunday sales given average = 16 cupcakes for the week:**
Let Sunday sales = $x$ cupcakes.
Saturday sales = twice Sunday sales = $2x$ cupcakes.
Total cupcakes sold in the week = sum of all days = Monday to Friday + Saturday + Sunday
$$76 + 2x + x = 76 + 3x$$
Average number of cupcakes sold for 7 days is 16, so:
$$\frac{76 + 3x}{7} = 16$$
Multiply both sides by 7:
$$76 + 3x = 112$$
Subtract 76 from both sides:
$$3x = 112 - 76 = 36$$
Divide both sides by 3:
$$x = \frac{36}{3} = 12$$
So, Sunday sales = $12$ cupcakes.
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4. **(c) Pictogram for Tuesday sales:**
Tuesday sales = 17 cupcakes.
Each symbol ⊕ represents 4 cupcakes.
Number of full symbols:
$$\left\lfloor \frac{17}{4} \right\rfloor = 4$$
Remaining cupcakes:
$$17 - 4 \times 4 = 17 - 16 = 1$$
So, 4 full symbols and 1 cupcake leftover (which can be shown as a partial symbol or noted).
Since the table shows 5 empty boxes, we fill 4 boxes fully and the 5th box partially or leave it empty.
**Pictogram:**
Tuesday [⊕] [⊕] [⊕] [⊕] [ ]
Each ⊕ = 4 cupcakes, total 16 cupcakes represented, with 1 cupcake not represented by a full symbol.
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**Final answers:**
(a) 76 cupcakes
(b) 12 cupcakes
(c) Pictogram as above.
Cupcakes Sales
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