Fresh cranberries have 99% of water. Partially dried cranberries have 98% of water. Jack picked 100 lbs of cranberries. How much will they weigh after drying?

Respuesta :

frika

Answer:

50 lbs

Step-by-step explanation:

Jack picked 100 lbs of cranberries. If fresh cranberries have 99% of water, then in 100 lbs of cranberries there are 99 lbs of water and 1 lb of "cranberries".

After being dried this 1 lb of "cranberries" form 2% and the rest 98% is the water. Let the weight of the dried cranberries be x lbs, then

x lbs - 100 %,

1 lb - 2 %.

Therefore,

[tex]\dfrac{x}{1}=\dfrac{100}{2},\\ \\x=\dfrac{1\cdot 100}{2}=50\ lbs.[/tex]