Question

A recipe for 82 cookies is asking for 40 grams of sugar. You have 340 grams of sugar, and you are wondering how many cookies

you can bake. Assume you have enough available of the other ingredients necessary for the recipe.
a) Write a proportion that represents this information.
b) Solve the proportion in (a) to find how many cookies you can bake for 340 grams of sugar.

Answer 1

Answer: you can bake approximately 697 cookies using 340 grams of sugar.

Explanation:

a) Let's represent the number of cookies you can bake as 'x'. The proportion that represents this information is:

40 grams of sugar / 82 cookies = 340 grams of sugar / x cookies

b) Now, let's solve the proportion:

40/82 = 340/x

Cross-multiplying:

40x = 82 * 340

Dividing both sides by 40:

x = (82 * 340) / 40

x ≈ 697