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3 years ago

12

One number is 6 times another. The sum of their reciprocal id 14/3. Find the numbers.

1 answer:

nydimaria [60]3 years ago

5 0

Let
x-------> one number
y--------> another number

we know that
x=6y--------> equation 1
(1/x)+(1/y)=14/3-----> (x+y)/xy=14/3-----> 3*(x+y)=14xy-----> equation 2

<span>I substitute 1 in 2
</span>3*(6y+y)=14(6y)y------> 21y=84y²-----> y=0.25
x=6y-----> x=6*0.25-----> x=1.5

the answer is
the numbers are 1.5 and 0.25

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Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 $\frac{1}{4}$ cups of flour to yield 36 cookies.

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Now form a proportion.

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Now let's cross multiply, we get

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Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

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