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Difficulty:
25%
(medium)
Question Stats:
82% (01:25) correct
18%
(02:01)
wrong
based on 68
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The ratio of local and international calls made by Amy this week is 5 to 2. If the ratio changes to 5 to 3 after Amy makes three more international calls, how many local calls did Amy make this week?
A. 3
B. 5
C. 10
D. 15
E. 21
A. 3
B. 5
C. 10
D. 15
E. 21
29 Jun 2022, 15:21
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Proportion where we have a sum in one of the variables.
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04 Feb 2026, 09:31
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Deconstructing the Question
Initial ratio (Local : International) is \(5:2\).
Amy makes 3 more international calls (local stays the same).
New ratio becomes \(5:3\).
Find the total number of local calls.
Step-by-step
Let Local = \(5k\) and International = \(2k\).
After 3 more international calls:
Local = \(5k\)
International = \(2k+3\)
New ratio is \(5:3\).
So if Local = \(5k\), then International must be \(3k\).
Set them equal:
\(2k+3=3k \Rightarrow k=3\)
Local calls:
\(5k=5\cdot 3=15\)
Answer: 15
Initial ratio (Local : International) is \(5:2\).
Amy makes 3 more international calls (local stays the same).
New ratio becomes \(5:3\).
Find the total number of local calls.
Step-by-step
Let Local = \(5k\) and International = \(2k\).
After 3 more international calls:
Local = \(5k\)
International = \(2k+3\)
New ratio is \(5:3\).
So if Local = \(5k\), then International must be \(3k\).
Set them equal:
\(2k+3=3k \Rightarrow k=3\)
Local calls:
\(5k=5\cdot 3=15\)
Answer: 15
