Question

Pete and Ryan are at a build-your-own frozen yogurt shop. Pete starts his cup with 2 ounces of vanilla yogurt, and Ryan starts his with 3 ounces of chocolate yogurt. After Pete adds 6 scoops of sprinkles and Ryan adds 2 scoops of sprinkles, the boys' cups weigh the same amount. How much does a scoop of sprinkles weigh? Simplify any fractions.

Answer 1

A scoop of sprinkles weighs 1/4 ounce.

Step-by-step explanation:

To find out how much a scoop of sprinkles weighs, we need to determine the total weight of the cups before the sprinkles were added and compare it to the total weight after the sprinkles were added. Let's start by calculating the initial weight of Pete's cup. He started with 2 ounces of vanilla yogurt. Next, we'll calculate the initial weight of Ryan's cup. He started with 3 ounces of chocolate yogurt. Now, let's add the weight of the sprinkles. Pete added 6 scoops, and Ryan added 2 scoops. Since the final weights of both cups are the same, we can set up an equation: 2 + 6x = 3 + 2x, where x represents the weight of one scoop of sprinkles. Now we can solve for x:
2 + 6x = 3 + 2x
4x = 1
x = 1/4

So, a scoop of sprinkles weighs 1/4 ounce.