I need assistance with word problem

Feb 2013
25
0
Chicago
(problem)

Sam picked 1/2 gallon of blue berries. Sam poured the blueberries into one of his plastic containers and noticed that the berries filled the container 2/3 full. solve the following problems in any way you like without using the calculator, and explain your reasoning in detail:


A.how many of Sam containers will 1 gallon of blueberries fill? (assume that Sam has a number of containers of the same size)


B.how many gallon of blueberries does it take to fill Sam container completely full?


this is what i have done:

for A.

i did 1÷1\2=2
then 2x2\3 which gave me 4/3

and for B.

I just did 1/2x2/3 which gave me 1/3, but I'm not sure if i suppose to multiply.
 
Feb 2013
445
89
Saudi Arabia
Convert the fractions into fractions with the same denominator and the answer will be in front of you.
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
(problem)

Sam picked 1/2 gallon of blue berries. Sam poured the blueberries into one of his plastic containers and noticed that the berries filled the container 2/3 full. solve the following problems in any way you like without using the calculator, and explain your reasoning in detail:


A.how many of Sam containers will 1 gallon of blueberries fill? (assume that Sam has a number of containers of the same size)


B.how many gallon of blueberries does it take to fill Sam container completely full?


this is what i have done:

for A.

i did 1÷1\2=2
then 2x2\3 which gave me 4/3
But that doesn't "explain your reasoning in detail", does it?
1 gallon is twice 1/2 gallon (That's your "1÷(1/2)= 2" but you didn't really need to do that division, did you?) so 1 gallon would fill twice (2/3).

and for B.

I just did 1/2x2/3 which gave me 1/3, but I'm not sure if i suppose to multiply.
Let x be the size of his container in gallons. Then (2/3)x= 1/2 gallon. Solve that for x. (And explain why "(2/3)x= 1/2 gallon".)