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Please help with this word problem, this is 6th grade mathematics.

Please help with this word problem, this is 6th grade mathematics.-example-1

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5 votes

Answer:

2 / 15 of the recommended amount

Step-by-step explanation:

We know that 3/4 of a cup contains 1 /10 of the recommended amount. Therefore, the ratio of cups to recommended amount is

cups : recommended amount = 3 /4 : 1/10 < ---- (a)

Now, how much of the recommended amount does 1 cup of oatmeal contain?

Let us call this unknown value ( the recommended amount in 1 cup) x, then the ratio

cups: recommended amount is

cups : recommended amount = 1 : x <----- (b)

The ratio (a) and (b) must be equal; therefore,


(3/4)/(1/10)=(1)/(x)

Now cross multiplication gives


(3/4)x=(1)(1/10)
\Rightarrow(3x)/(4)=(1)/(10)

Cross multiplying one more time gives


(3x)(10)=(4)(1)
30x=4

finally, dividing both sides by 30 gives


(30x)/(30)=(4)/(30)
x=(4)/(30)
x=(4/2)/(30/2)=(2)/(15)
\boxed{x=(2)/(15)\text{.}}

Therefore, there is 2/ 15 of the recommended amount in 1 cup of oatmeal.

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