Subjects algebra

Cupcakes Sales

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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. --- 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. --- 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. --- 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. --- **Final answers:** (a) 76 cupcakes (b) 12 cupcakes (c) Pictogram as above.