Question

Morgan is making two cookie recipes. Recipe A calls for 1/3 less than twice the number of cups of sugar that recipe B calls for. If she needs 4 and 1/6 cups of all sugar, how many cups will she need for recipe A?

a. 6 cups
b. 7 cups
c. 8 cups
d. 9 cups

Answer 1

To find the number of cups needed for Recipe A, set up a proportion using the given information. The number of cups needed for Recipe A is 2.5 cups.

Step-by-step explanation:

To find the number of cups needed for Recipe A, we need to set up a proportion using the given information. Let's assume the number of cups needed for Recipe B is x. Recipe A calls for 1/3 less than twice the number of cups of sugar that Recipe B calls for, so Recipe A would need (2x - 1/3x) cups of sugar. We know that the total amount of sugar needed is 4 and 1/6 cups, so we can set up the proportion: (2x - 1/3x)/x = 4 and 1/6. To solve for x, we can cross multiply and solve the resulting equation: (2x - 1/3x) = (4 and 1/6)x. Simplifying the equation, we get: 12x - 2x = 25x. Combining like terms, we get: 10x = 25x. To solve for x, we can divide both sides of the equation by 10: x = 25/10. Simplifying further, we get: x = 2.5 cups.