a nutritional chart on the side of a box of a cereal state that there are 84 calories in a 3/4 cup serving. how man calories re in 5 cups of the cereal?
There are 5 / (3/4) servings in 5 cups, so there are
84 * (5 / (3/4)) = 560 calories
To find out how many calories are in 5 cups of the cereal, you can use a proportion to scale up the amount of calories from the given serving size.
Let's start by setting up a proportion using the given information:
(3/4 cup / 84 calories) = (5 cups / x calories)
Cross-multiplying the proportion:
(3/4 cup) * (x calories) = (5 cups) * (84 calories)
Now, solve for x:
(3/4 cup) * (x calories) = (5 cups) * (84 calories)
Multiply across:
(3/4) * x = 5 * 84
To isolate x, divide both sides of the equation by 3/4:
x = (5 * 84) / (3/4)
Simplify:
x = (5 * 84) * (4/3)
x = 420 * 4/3
x ≈ 560
Therefore, there are approximately 560 calories in 5 cups of the cereal.