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If p:q =2:3 and x:y = 4:5, then the value of 5px + 3qy: 10px + 4qy is
- a)71:82
- b)27:28
- c)17:28
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If p:q =2:3 and x:y = 4:5, then the value of 5px + 3qy: 10px + 4qy isa...
p:q=2:3
let p=2k then q=3k
x:y=4:5
lt x=4u then y= 5u
5px + 3qy=5 (2k)(4u)+3(3k)(5u)=85ku
10px+4qy=10(2k)(4u)+ 4(3k)(5u)=140ku
hence 5px + 3qy:10px + 4qy = 85ku/140ku = 17/28
Most Upvoted Answer
If p:q =2:3 and x:y = 4:5, then the value of 5px + 3qy: 10px + 4qy isa...
To solve this problem, we need to find the values of 5px 3qy and 10px 4qy.
Given:
p:q = 2:3
x:y = 4:5
We can rewrite the given ratios as:
p/q = 2/3
x/y = 4/5
Now, let's find the values of p, q, x, and y.
We can assume the values of p and x as 2a and 4b respectively, where a and b are constants.
Similarly, we can assume the values of q and y as 3a and 5b respectively.
Substituting these values in the given ratios, we get:
p/q = (2a)/(3a) = 2/3
x/y = (4b)/(5b) = 4/5
Simplifying the above equations, we get:
2a/3a = 2/3
4b/5b = 4/5
From these equations, we can conclude that a and b cancel out, and we are left with the same ratios:
p/q = 2/3
x/y = 4/5
Now, let's calculate the values of 5px 3qy and 10px 4qy.
5px 3qy = 5(2a) (3(3a)) = 30a^2
10px 4qy = 10(2a) (4(3a)) = 240a^2
Since we have assumed a and b to be constants, the ratio of 5px 3qy : 10px 4qy is:
30a^2 : 240a^2 = 1:8
But we need to find the ratio in terms of p and q, so let's substitute the values of a and b back into the equation.
Since we assumed p = 2a and q = 3a, we can rewrite the ratio as:
30(p^2) : 240(p^2) = 1:8
Simplifying further, we get:
30:240 = 1:8
Therefore, the value of 5px 3qy : 10px 4qy is 1:8.
However, this is not one of the given answer choices. Therefore, the correct answer is none of these (d).
Given:
p:q = 2:3
x:y = 4:5
We can rewrite the given ratios as:
p/q = 2/3
x/y = 4/5
Now, let's find the values of p, q, x, and y.
We can assume the values of p and x as 2a and 4b respectively, where a and b are constants.
Similarly, we can assume the values of q and y as 3a and 5b respectively.
Substituting these values in the given ratios, we get:
p/q = (2a)/(3a) = 2/3
x/y = (4b)/(5b) = 4/5
Simplifying the above equations, we get:
2a/3a = 2/3
4b/5b = 4/5
From these equations, we can conclude that a and b cancel out, and we are left with the same ratios:
p/q = 2/3
x/y = 4/5
Now, let's calculate the values of 5px 3qy and 10px 4qy.
5px 3qy = 5(2a) (3(3a)) = 30a^2
10px 4qy = 10(2a) (4(3a)) = 240a^2
Since we have assumed a and b to be constants, the ratio of 5px 3qy : 10px 4qy is:
30a^2 : 240a^2 = 1:8
But we need to find the ratio in terms of p and q, so let's substitute the values of a and b back into the equation.
Since we assumed p = 2a and q = 3a, we can rewrite the ratio as:
30(p^2) : 240(p^2) = 1:8
Simplifying further, we get:
30:240 = 1:8
Therefore, the value of 5px 3qy : 10px 4qy is 1:8.
However, this is not one of the given answer choices. Therefore, the correct answer is none of these (d).
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Community Answer
If p:q =2:3 and x:y = 4:5, then the value of 5px + 3qy: 10px + 4qy isa...
So put values on this equation
5×2×4+3×3×5 : 10×2×4+4×3×5
40+ 45 : 80+ 60
85:140
17:28
option c is correct answer
5×2×4+3×3×5 : 10×2×4+4×3×5
40+ 45 : 80+ 60
85:140
17:28
option c is correct answer
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If p:q =2:3 and x:y = 4:5, then the value of 5px + 3qy: 10px + 4qy isa)71:82b)27:28c)17:28d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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