Free Practice Question
PS · Problem Solving
555-605
Algebra
If p = 12m; q = 4n; r = 9k and p:q:r = 12:4:9 then what is the value of ?
Answer Choices
Correct answer marked belowA
8/15
B
7/6
C
108/123
58/5
Correct
E
111/9
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Explanation
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Official Explanation
Official
To solve for \frac{9p+3q+6r}{10m+n+4k}, we first express p, q, and r in terms of m, n, and k. Given the ratios p:q:r = 12:4:9, we can set p = 12x, q = 4x, and r = 9x for some x. Now substituting these into the expression, we have: 9p = 9(12x) = 108x, 3q = 3(4x) = 12x, and 6r =…
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Comments
5
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S
SarthakFeb 12, 2025
Can someone explain it other way?
B
BadalJan 7, 2025
Thank you very much!
R
raspberrynutMar 6, 2025
this pattern comes up frequently
Y
YashikaJan 14, 2025
cheers!
A
AnkitApr 7, 2024
Great question!
What this question tests
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.
Details
Difficulty
555-605
Type
PS
Category