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If a is three times b, b is twice c, and c is four times d, what is the value of (a + c)/(b + d) ?

 Jul 4, 2021
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If a is three times b, b is twice c, and c is four times d, what is the value of (a + c)/(b + d) ?

 

Hello Guest!

 

\(a=3b\\ b=2c\\ c=4d\\ \)

\(\dfrac{a+c}{b+d}=\dfrac{3b+4d}{2c+d}=\dfrac{6c+4d}{2c+d}=\dfrac{6c+c}{2c+\dfrac{c}{4}}=\dfrac{7c}{\dfrac{9c}{4}}=\color{blue}\dfrac{28}{9}\)

laugh  !

 Jul 4, 2021

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