Direction: Study the following information carefully and answer the questions. The following pie chart shows the distribution of the number of laptops sold by five stores. Conditions: I. The total number of laptops sold by all the five stores (A, B, C, D and E) taken together is 7200. II. $(19z - 4y) = 42$ III. $z^2 + 2z - 224 = 0$ Note: The values given in the above given pie chart in the form of degree or percentage form cannot be negative. The average number of laptops sold by store A, C, E and B together is how much more than the average number of laptops sold by store B and D together?

### Concept & Averages First, accurately map the distribution of all 7200 laptops across the five stores using the solved variables, then compute the specific group averages to determine their numerical difference. ### Step-by-Step Solution * **Base Values Calculation:** From prior evaluation, $z = 14$ and $y = 56$. The total is 7200 laptops. * Store A = $26\%$ of $7200 = 1872$. * Store B = $(3y - 16) = 3(56) - 16 = 168 - 16 = 152$. * Store C = $(y)^\circ = 56^\circ$. In raw values: $\frac{56}{360} \times 7200 = 1120$. * Store D = $(2z - 5)\% = (28 - 5)\% = 23\%$. In raw values: $0.23 \times 7200 = 1656$. * Store E = $(8.5z + 1)^\circ = 120^\circ$. In raw values: $\frac{120}{360} \times 7200 = 2400$. * **Calculate First Average:** The sum for stores A, C, E, B = $1872 + 1120 + 2400 + 152 = 5544$. The average is $\frac{5544}{4} = 1386$. * **Calculate Second Average:** The sum for stores B, D = $152 + 1656 = 1808$. The average is $\frac{1808}{2} = 904$. * **Calculate Difference:** $1386 - 904 = 482$. ### Exam Strategy & Shortcut Ensure you correctly identify the units of the chart (degrees vs. percentage vs. raw numbers). Notice that Store B is a raw number $(3y - 16)$, unlike the other segments. Keep track of your sums cleanly to avoid basic arithmetic errors during the average division. ### Common Pitfall A critical pitfall is misreading the value for Store B, $(3y - 16)$, as a percentage or degree. Unlike the others, it is a direct numerical value and does not require multiplying against the 7200 base. ### Final Answer Therefore, the correct answer is **482**.