Question

Mary's 3 hamsters each eat three-eighths of cup of grain a day, if she has 6 and 3/4 cups of grain, how many days will the grain last?

Answer 1

Hello!

3/8 times 3 equals 9/8 which is also 1 1/8. If you multiply 3/4 by two (numerator and denominator) then you will get 6/8. And if you multiply 9/8( I just find it easier with 9/8) by 6 you will get 54/8. And the grain will last for 6.75 days.

I may be wrong let me know.
Hope this helps!

Answer 2

6 days

Explanation:

Each hamster eat
`(3)/(8)` of a cup of grain a day.

So in one day, the three hamsters eat:

`3*((3)/(8) )=(3*3)/(8) =(9)/(8)` cups

And since we know that Mary has 6
`(3)/(4)` cups of grain.

We need to convert this quantity into a fraction:

`6(3)/(4)=(6*4+3)/(4)=(27)/(4)`

she has
`(27)/(4)` cups of grain.

To find how many days the grain will last, we need to divide the total amount of grain she has (
`(27)/(4)` cups) by the amount that the three hamsters eat together in one day (
`(9)/(8)` cups):

`(27)/(4)` ÷
`(9)/(8)`

and we use the rule to divide fractions:

`(x)/(y)` ÷
`(z)/(w) =(x*w)/(y*z)`

this way we get:

`(27)/(4)` ÷
`(9)/(8)`
`=(27*8)/(4*9)=(216)/(36)=6`

the grain will last 6 days