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06 Jul 2025, 12:52
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Something I’ve noticed — both in myself and others — is that translating plain English into equations can be tricky, especially when phrases like “twice as many” are involved.
Take this sentence, for example:
"Last year the manufacturer sold twice as many units of Q as P."
At first glance, I got confused and wrote:
P=2QP = 2QP=2Q
But that’s incorrect.
Let’s break it down properly.
Correct Interpretation:
The sentence means:
The number of Q units is double the number of P units.
So, if P=10P.
Therefore, the correct equation is:
Q=2PQ
Trick to Remember:
When you read:
“twice as many A as B”
“Twice as many cats as dogs”
Let number of dogs = D
Then number of cats = 2D
So the equation is:
Cats=2×Dogs
🧩 Apply This to Our Case:
“Twice as many units of Q as P”
Let units of P = P
Then units of Q = 2P
So the correct equation is:
Q=2PQ
Take this sentence, for example:
"Last year the manufacturer sold twice as many units of Q as P."
At first glance, I got confused and wrote:
P=2QP = 2QP=2Q
But that’s incorrect.
Let’s break it down properly.
Correct Interpretation:
The sentence means:
The number of Q units is double the number of P units.
So, if P=10P.
Therefore, the correct equation is:
Q=2PQ
Trick to Remember:
When you read:
“twice as many A as B”
- Anchor the second thing (B).
- Double it to get the first thing (A).
“Twice as many cats as dogs”
Let number of dogs = D
Then number of cats = 2D
So the equation is:
Cats=2×Dogs
🧩 Apply This to Our Case:
“Twice as many units of Q as P”
Let units of P = P
Then units of Q = 2P
So the correct equation is:
Q=2PQ
07 Jul 2025, 18:52
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Hi Anaya1801,
Another way to think about "A is twice B" or "Adam is two times as old as Brian" is to ask yourself, "Which value is smaller?"
Since Brian's age is less than Adam's, we need to multiply Brian's age by 2 to equal Adam's age. So, the equation is: A = 2B.
Another way to think about "A is twice B" or "Adam is two times as old as Brian" is to ask yourself, "Which value is smaller?"
Since Brian's age is less than Adam's, we need to multiply Brian's age by 2 to equal Adam's age. So, the equation is: A = 2B.
11 Jul 2025, 11:27
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Thanks scott! yes that makes sense, but when I would initially read such questions my brain would directly jump to make the equation before even understanding the actual meaning, hence I had create this elaborate framework to not make any mistakes!
