If 𝑝 ∶ π‘ž = 1 ∶ 2 π‘ž ∶ π‘Ÿ = 4 ∶ 3 π‘Ÿ ∶ 𝑠 = 4 ∶ 5 and 𝑒 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑒?

If 𝑝 ∶ π‘ž = 1 ∶ 2 π‘ž ∶ π‘Ÿ = 4 ∶ 3 π‘Ÿ ∶ 𝑠 = 4 ∶ 5 and 𝑒 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑒?

Question: If 𝑝 ∶ π‘ž = 1 ∶ 2 π‘ž ∶ π‘Ÿ = 4 ∶ 3 π‘Ÿ ∶ 𝑠 = 4 ∶ 5 and 𝑒 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑒?

Solution:



Through the utilization of given ratios; the relationship between variables p, q, r and s can be established enabling us towards deducing the ratio of p:u which becomes possible after uncovering the value of variable u that is greater than s by a certain percentage. 

Taking into account provided ratios such as p∶q=1∶2 leads us towards being able to develop this equation where q=2p. 


After scrutinizing through q∶r =4∶3; r=(3 /4)q=(3/4)×2p =(3/2)p appears. Moreover when analyzing r ∶ 𝑠 = 4 ∶5. We determine that 𝑠 = (5 /4)π‘Ÿ = (5 /4)×(3/2)p =(15 /8)p. 


With regards to whats' stated about the relationship between variable u and s; it indicates how an increase of fifty percent greater than s occurs in its case thus making it becomes evident that

u=1.5s=1.5×(15/8)p=(45/16)p. 


By dividing both sides with greatest common factor equaling to one; we establish that:

π’Ž : 𝒖 =16𝑝 :45𝑝

 

Thus forming a final conclusion whereupon the ratio of p∶u equates to 16 : 45.

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"Meet Mr. Akhand Dutta, the visionary Founder and Owner of CEWA (Civil Engineering With Akhand Dutta). Currently, The Placement Coordinator for Structural Engineering at the prestigious National Institute of Technology, Kurukshetra. With a lif…

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