1.

If the compound ratio of 6:7 and x:12 is 4:7 find the value x​

Answer»

ong>ANSWER: PLEASE BRAINLIEST MY ANSWER

x  = 8

Step-by-step explanation:

Q) If the compound ratio of 6:7 and x:12 is 4:7 find the VALUE x​

⇒Compound ratio means the ratio obtained by two or more ratios are multiplies termwise.

If a:b and c:d are two given ratios, then their compound ratio is ac : bd

Now the given is -

6:7 ; x:12 are two ratios and their compound ratio is 4:7

∴ (6:7)*(x:12) = 4:7

∴ x/12 = (4/7)/(6/7)

∴ x/12 = (4/7)*(7/6)

∴ x/12 = (4*7)/(7*6)

∴ x/12 = 28/42 = 4/6 = 2/3

∴ x/12 = 2/3

∴ x  = (2/3)*12

∴ x  = (2*12)/3 = 2*4

∴ x  = 8



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