Final answer:
Mrs. Clark can make 2040 cupcakes with 5745 tablespoons of icing.
Step-by-step explanation:
To find out how many cupcakes Mrs. Clark can make with 5745 tablespoons of icing, we need to set up a proportion using the information given. Mrs. Clark uses 17 tablespoons of icing for 6 cupcakes. So, the proportion is:
17 tablespoons / 6 cupcakes = 5745 tablespoons / x cupcakes
To solve for x, cross multiply and solve for x:
17x = 6 * 5745
Divide both sides by 17:
x = (6 * 5745) / 17 = 2040
Therefore, Mrs. Clark can make 2040 cupcakes with 5745 tablespoons of icing.