College

How many cans weighing 14 oz are in a case if the case weighs 22 lb 12 oz?

There are _______ cans in the case.

Answer :

The weight of 14 oz cans is obtained as 25.66 lb.

Define the term proportion?

  • In mathematics, proportionality denotes a linear relationship between two quantities or variables.
  • When determining if two ratios and fractions are equivalent, the proportion equation is utilized.
  • By dividing the supplied values, we may determine the missing value.
  • One way to express the percentage formula is as a: Whereas a and d are the extremes terms while b and c are indeed the mean terms, b::c: d = a/b = c/d.

For the stated question;

12 oz of cans ----> weighs 22 lb.

Let the weight of 14 oz cans be 'x'.

Then,

14/x = 12/22

x = (14 x 22)/12

x = 25.66 lb

Thus, the weight of 14 oz cans is obtained as 25.66 lb.

To know more about the proportion, here

https://brainly.com/question/1496357

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Final answer:

To find out how many 14-ounce cans are in a case weighing 22 pounds and 12 ounces, first convert the case's weight to ounces (364 ounces) and then divide by the weight of one can, resulting in 26 cans.

Explanation:

To determine how many 14-ounce cans are in a case that weighs 22 pounds and 12 ounces, the weight of the case in ounces needs to be calculated first, then that total can be divided by the weight of a single can.

First, convert the pounds to ounces. Since there are 16 ounces in a pound, you multiply the number of pounds by 16 and add the extra ounces:

22 lb × 16 oz/lb = 352 oz

Adding the 12 ounces gives us a total case weight:

352 oz + 12 oz = 364 oz

Now, divide the total case weight by the weight of a single can:

364 oz ÷ 14 oz/can = 26 cans

Therefore, there are 26 cans in the case.