Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
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Solve this faster with the right shortcut first
Shortcut used: Reduce the ratio first, then scale both terms by the same multiplier.
Solve in 3 steps:
- Write the ratio clearly.
- Find the common multiplier.
- Apply it to the missing term.
Common mistake: Do not scale only one side of the ratio.
Question 2
Multiple Choice Question
Question
The ratio of pens to pencils is 7:5. If there are 84 pens, how many pencils are there?
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Ratio and Proportion
7 parts = 84, so 1 part = 12. Pencils = 5×12 = 60.
Why this answer is correct
The answer keeps the ratio proportional.
Short Explanation
7 parts = 84, so 1 part = 12. Pencils = 5×12 = 60.
Detailed Explanation
Question
The ratio of pens to pencils is 7:5. If there are 84 pens, how many pencils are there?
ANSWER
Correct Answer: C
Method / Topic: Ratio and Proportion
Scale the ratio 7:5 by 12 because 84/7=12.
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Question 2
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve
Shortcut used, common trap, and the fastest solving route
Shortcut used: Reduce the ratio first, then scale both terms by the same multiplier.
Solve in 3 steps:
- Write the ratio clearly.
- Find the common multiplier.
- Apply it to the missing term.
Common mistake: Do not scale only one side of the ratio.
Question
The ratio of pens to pencils is 7:5. If there are 84 pens, how many pencils are there?
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Ratio and Proportion
7 parts = 84, so 1 part = 12. Pencils = 5×12 = 60.
Why this answer is correct
The answer keeps the ratio proportional.
Short Explanation
7 parts = 84, so 1 part = 12. Pencils = 5×12 = 60.
Detailed Explanation
Question
The ratio of pens to pencils is 7:5. If there are 84 pens, how many pencils are there?
ANSWER
Correct Answer: C
Method / Topic: Ratio and Proportion
Scale the ratio 7:5 by 12 because 84/7=12.
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