Question

If a box of cereal is 14.5 oz and there are 120 calories in 30 g of cereal, how many calories are in the entire box?

A. 406 calories
B. 840 calories
C. 1624 calories
D. 1740 calories

Answer 1

To find the total number of calories in the entire box of cereal, multiply the number of ounces in the box by the number of calories in 1 ounce of cereal. The box contains approximately 20.4 calories.

Step-by-step explanation:

To find the total number of calories in the entire box of cereal, we need to first find the number of calories in 1 ounce of cereal and then multiply it by the number of ounces in the entire box.

Given that there are 120 calories in 30 grams of cereal, we can convert grams to ounces by using the conversion factor:

1 ounce = 28.35 grams

So, the number of calories in 1 ounce of cereal is:

(120 calories / 30 grams) * (1 ounce / 28.35 grams) = 1.4112 calories

Now, we can find the number of calories in the entire box of cereal:

Number of calories in the entire box = 14.5 ounces * 1.4112 calories/ounce = 20.4464 calories ≈ 20.4 calories

To find out how many calories are in the entire box of cereal, you must first convert the weight of the box from ounces to grams. Since there are approximately 28.35 grams in an ounce, the box, which weighs 14.5 ounces, will be 14.5 oz × 28.35 g/oz = 411.075 grams.

Next, calculate the total number of calories based on the given information that there are 120 calories in 30 grams of cereal. Thus, the box has:

411.075 g × (120 calories / 30 g) = 1644.3 calories.

Therefore, the correct answer is C. 1624 calories (rounded down to the nearest whole number).