SOLUTION: Cam put 4 12/25 pounds of rice in bags that each weigh 7/25 pound. She uses 1/8 of the bags of rice. How many bags of rice are left? A)2 B)4 C)8 D)14

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Question 1208323: Cam put 4 12/25 pounds of rice in bags that each weigh 7/25 pound. She uses
1/8 of the bags of rice. How many bags of rice are left?
A)2
B)4
C)8
D)14
Found 4 solutions by math_tutor2020, greenestamps, ikleyn, MathTherapy:
Answer by math_tutor2020(3816)   (Show Source):
You can put this solution on YOUR website!

4 & 12/25 = 4 + (12/25) = 4.48
7/25 = 0.28

x = number of bags to start with
1 full bag weighs 0.28 pounds
x of them weigh 0.28x pounds
Set this equal to the total weight of all the rice (4.48 pounds) so we can determine x.
0.28x = 4.48
x = 4.48/0.28
x = 16
There are 16 bags to start with.

Cam uses 1/8 of them so she uses (1/8)*16 = 2 bags and is left with 16-2 = 14 bags.

Alternatively, because she uses 1/8 of the bags, she has 7/8 of the bags remaining.
(7/8)*16 = 14

Answer: Choice D

Answer by greenestamps(13198)   (Show Source):
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pounds of rice: 4 12/25 = 100/25 + 12/25 = 112/25

pounds of rice in each bag: 7/25

Number of bags: (112/25)/(7/25) = 112/7 = 16

Number of bags used: (1/8)(16) = 2

Number of bags left: 16-2 = 14

ANSWER: 14

Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website!
.
Cam put 4 12/25 pounds of rice in bags so that each bag weights 7/25 of a pound.
She uses 1/8 of the bags of rice. How many bags of rice are left?
~~~~~~~~~~~~~~~~~~~~~~~~~~

As a Math problem, the formulation is far from to be perfect and smooth.

Personally to me, this formulation makes me shudder.

Here is much better formulation.

        Cam distributes 4 12/25 pounds of rice in small bags evenly so that each bag weighs 7/25 of a pound.
        She uses 1/8 of the bags of rice. How many bags of rice are left?

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!

Cam put 4 12/25 pounds of rice in bags that each weigh 7/25 pound. She uses 1/8 of the bags of rice. How many bags of rice are left? A)2 B)4 C)8 D)14 Total amount of rice (in pounds): Each bag contains of rice, so total number of bags = She used of the number of bags. Number of bags left: Choice D).