Question

In a candy factory, the nutty chocolate bars contain 20.0 % pecans by mass. If 4.0 kg of pecans were used for candy last Tuesday, how many pounds of nutty chocolate bars were made? Express your answer to two significant figures.

Answer 1

44.09 pounds

Step-by-step explanation:

We got that 20 % of the mass of a nutty chocolate bar its pecans, if 4.0 kg of pecans were used, we need to find the X in the equation

`0.2 * X = 4.0 \ kg`

where X its the total mass of nutty chocolate bars produced. So, we can just divide by 0.2 on both sides, and we find:

`X = 4.0 kg / 0.2`

`X = 20.0 \ kg`

Of course, we need the total mass produced in pounds, and not in kilograms. Looking at an conversion table, we can find that 1 kg its 2.20462 pounds, multiplying the value for total mass produced by the conversion factor we get:

`X = 20.0 \ kg * 2.20462 \ (pounds)/(kg)`

`X = 44.0924 \ pounds`

Now, we just need to round off to two significant figures. This is:

`X = 44.09 \ pounds`,

the total mass of nutty chocolate bars made last Tuesday to two significant figures.