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zepelin [54]
3 years ago
9

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?
Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0

Answer:

6 days

Step-by-step explanation:

Each hamster eat \frac{3}{8} of a cup of grain a day.

So in one day, the three hamsters eat:

3*(\frac{3}{8} )=\frac{3*3}{8} =\frac{9}{8} cups

And since we know that Mary has 6\frac{3}{4} cups of grain.

We need to convert this quantity into a fraction:

6\frac{3}{4}=\frac{6*4+3}{4}=\frac{27}{4}

she has \frac{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 (\frac{27}{4} cups) by the amount that the three hamsters eat together in one day (\frac{9}{8} cups):

\frac{27}{4} ÷ \frac{9}{8}

and we use the rule to divide fractions:

\frac{x}{y} ÷ \frac{z}{w} =\frac{x*w}{y*z}

this way we get:

\frac{27}{4} ÷ \frac{9}{8} =\frac{27*8}{4*9}=\frac{216}{36}=6

the grain will last 6 days

muminat3 years ago
5 0
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!
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