(1) Miguel is making trail mix. He uses \( 5 \frac{1}{3} \) ounces of nuts and \( 2 \frac{3}{4} \) ounces of raisins. Which of these is a reasonable estimate for how many more ounces of nuts than raisins Miguel uses? \( \begin{array}{ll}\text { (A) between } 2 \text { and } 2 \frac{1}{2} \text { ounces } \\ \text { (B) between } 2 \frac{1}{2} \text { and } 3 \text { ounces } \\ \text { (C) between } 3 \text { and } 3 \frac{1}{2} \text { ounces } \\ \text { (D) between } 3 \frac{1}{2} \text { and } 4 \text { ounces }\end{array} \)

To find out how many more ounces of nuts than raisins Miguel uses, first round the quantities: \( 5 \frac{1}{3} \) ounces of nuts rounds to approximately 5 ounces, and \( 2 \frac{3}{4} \) ounces of raisins rounds to about 3 ounces. Subtracting these estimates gives us \( 5 - 3 = 2 \) ounces. So, we want an option that closely aligns with that estimate. Reasonably, the answer falls between (A) between 2 and 2 \( \frac{1}{2} \) ounces. Now, let’s recap with a splash of creativity! Imagine Miguel on a hiking adventure—a bit like Goldilocks—trying to find the perfect blend for his trail mix. Too few nuts, and it's a sad Nibbles Mix. Too many raisins, and it’s a sugar bomb! By estimating just right, he's ensured his trail mix is just nutty enough to conquer those trails!