If A: B = 2: 5,B: C = 4: 3,and C: D = 2: 1,wh | vedclass

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(D) Given ratios are $A: B = 2: 5$,$B: C = 4: 3$,and $C: D = 2: 1$.To find $A: B: C$,we equate the value of $B$ in both ratios. Multiply $A: B$ by $4$

Vedclass · Accepted Answer

$16: 30: 15$

Vedclass · Answer

(D) Given ratios are $A: B = 2: 5$,$B: C = 4: 3$,and $C: D = 2: 1$.To find $A: B: C$,we equate the value of $B$ in both ratios. Multiply $A: B$ by $4$ and $B: C$ by $5$:$A: B = (2 	imes 4) : (5 	imes 4) = 8: 20$$B: C = (4 	imes 5) : (3 	imes 5) = 20: 15$So,$A: B: C = 8: 20: 15$.Now,to find $A: B: C: D$,we use $C: D = 2: 1$. We equate the value of $C$ in $A: B: C$ $(15)$ and $C: D$ $(2)$. Multiply $A: B: C$ by $2$ and $C: D$ by $15$:$A: B: C = (8 	imes 2) : (20 	imes 2) : (15 	imes 2) = 16: 40: 30$$C: D = (2 	imes 15) : (1 	imes 15) = 30: 15$Thus,$A: B: C: D = 16: 40: 30: 15$.Therefore,$A: C: D = 16: 30: 15$.

If $A: B = 2: 5$,$B: C = 4: 3$,and $C: D = 2: 1$,what is the value of $A: C: D$?

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