If a crate contains 25,500 ounces (oz) of rice, about how many kilograms (kg) does it contain? (1 lb = 16 oz, 1 lb = 0.454 kg) a. 351 kg b. 724 kg c. 25,500 kg d. 185,000 kg

Option B is correct. The amount of kg the crate contains is approximately 724kg

Measurement is a means of measuring a quantity of an object.

If a crate contains 25,500 ounces (oz) of rice, this means that:

1crate = 25,500 ounces

Convert 25,500 ounces to pounds(lb)

Since 1 lb = 16 oz

x = 25,500 oz

Cross multiply

16x = 25,500

x = 25,500/16

x = 1,593.75lb

Since we need to know the number of kg it contains, we will also need to convert 1,593.75lb to kg as showns:

Recall that;

1 lb = 0.454kg

1,593.75lb = y

Cross multiply again

y = 0.454 * 1593.75

y = 723.56kg

y ≈ 724kg

Hence the amount of kg the crate contains is approximately 724kg

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We need to perform a change of units. We always can do this only if both units represent the same measure, like in this case, both of them represent mass.

We will find the equivalence: 25,500 oz = 723.56 kg

We know that the crate contains 25,500 oz of rice.

We want to transform this quantity to kilograms, knowing that:

1 lb = 16 oz

1 lb = 0.454 kg

Then we first need to transform to pounds, and then to kilograms.

Using the first relation we can write:

1 = (1 lb)/(16 oz)

We can multiply our original measure by this (this is equal to 1, so it does not modify our measure, only changes the units).

25,500 oz = 25,500 oz*(1 lb)/(16 oz) = 1,593.75 lb

Now we can use the second relation to write:

1 = (0.454 kg)/(1 lb)

Now we need to multiply the above measure by this:

1,593.75 lb = 1,593.75 lb*(0.454 kg)/(1 lb) = 723.56 kg

Then we have:

25,500 oz = 723.56 kg

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