Final answer:
To find out how many cupcakes Mrs. Clark can make with 57⅘ tablespoons of icing, we can use a proportion to solve the problem. The answer is 170 cupcakes.
Step-by-step explanation:
To find out how many cupcakes Mrs. Clark can make with 57⅘ tablespoons of icing, we can set up a proportion using the information given. We know that she uses 17 tablespoons of icing for 6 cupcakes. So the proportion is: 17/6 = 57⅘/x. To solve for x, we can cross multiply: 17x = 6 * 57⅘. Simplifying the right side, we get: 17x = 34 * 57⅘. Now, dividing both sides by 17, we get: x = (34 * 57⅘) / 17. Evaluating the right side, we find: x = 34* (5 +4/5) / 17 = 34 * 25/5 = 34 * 5 = 170. Therefore, Mrs. Clark can make 170 cupcakes with 57⅘ tablespoons of icing.