Tomas sells small boxes of 6 eggs or large boxes of 10 eggs. He sells x small boxes. He sells 8 more of the large boxes than the small boxes. (a) Write an expression in terms of x,for the number of large boxes he sells. __ (b) Write an expression, in terms of x, for the total number of eggs he sells. Give your answer in its simplest form.

<br /><br />(a) Tomas sells $x$ small boxes and 8 more large boxes than the small boxes. The number of large boxes he sells would therefore be equal to the number of the small boxes plus 8. At this point, we can express the number of large boxes he sells as: <br /><br />\[x + 8\]<br /><br />We have the variable \(x\) representing small boxes already. The number of large boxes is realized by adding 8 to the number of small boxes; hence we have \(x+8\). <br /><br />(b) If Tomas sells each small box with 6 eggs and each large box with 10 eggs, we can measure the total number of eggs by adding the product of the number of small boxes and 6 to the product of the number of large boxes and 10.<br /><br />The number of eggs in the small boxes: \[6 \times x = 6x\]<br />Recall that the number of large boxes he has is given by the expression \(x + 8\).<br />The number of eggs in the large boxes: \[10 \times (x + 8) = 10x + 80\]<br /><br />Therefore, the total number of eggs Tomas sells in small and large boxes is given by the sum of the two previous expression: \[6x + 10x + 80 \]<br /><br />To simplify, we add like terms: i.e., \(6x + 10x = 16x\) to get : <br />\[16x + 80.\]<br /><br />The answer is that the number of large boxes sold is equal to \(x + 8\) and the total number of eggs sold is \(16x + 80\).