1. Lebo sells home-made biscuits at school to earn some pocket Her profit on one packet of biscults is 28. Determine the values for A and B in the following table: \( \square \) \( 1 \quad 3 \quad 5 \quad B^{1} \) \( 8 \quad 24 \mathrm{~A}^{4} 96 \)
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To find the values of A and B, let's analyze the pattern in the columns. For the first column, starting from the second row: - 1 packet yields a profit of 8, - 3 packets yield a profit of 24, - 5 packets yield a profit of A, - B packets yield a profit of 96. We can observe that the profit seems to be a multiple of the number of packets. Taking the first two entries: - From 1 packet (8), if we multiply the number of packets by 8, for 3 packets: 3 * 8 = 24. Thus, we can assume that for any packets: - Profit = packets × (profit per packet). From these calculations, we can find that profit per packet = 8. Using this: - For 5 packets: \( A = 5 × 8 = 40. \) - For the last row, setting up the equation for B packets: \( B × 8 = 96 \) gives us \( B = 12. \) So, the final values are A = 40 and B = 12.