Answer:
44.09 pounds
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
[tex]0.2 * X = 4.0 \ kg[/tex]
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:
[tex]X = 4.0 kg / 0.2[/tex]
[tex]X = 20.0 \ kg[/tex]
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:
[tex]X = 20.0 \ kg * 2.20462 \ \frac{pounds}{kg}[/tex]
[tex]X = 44.0924 \ pounds[/tex]
Now, we just need to round off to two significant figures. This is:
[tex]X = 44.09 \ pounds[/tex],
the total mass of nutty chocolate bars made last Tuesday to two significant figures.
