The ratio of SAMSUNG and iphone is 3:4 respectively. The average number of samsung and iphone is 350. What is the number of iphone?
Question
The ratio of SAMSUNG and iphone is 3:4 respectively. The average number of samsung and iphone is 350. What is the number of iphone?
Solution 1
To solve this problem, we need to follow these steps:
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First, we need to understand that the ratio given is 3:4, which means for every 3 Samsung phones, there are 4 iPhones.
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The average number of Samsung and iPhone is given as 350. This average is obtained by adding the number of Samsung phones and iPhones together and then dividing by 2 (since there are two types of phones).
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Let's denote the number of Samsung phones as 3x and the number of iPhones as 4x.
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According to the problem, (3x + 4x) / 2 = 350.
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Solving this equation, we get 7x / 2 = 350.
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Multiplying both sides by 2, we get 7x = 700.
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Dividing both sides by 7, we find that x = 100.
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Now, we know that the number of iPhones is 4x, so substituting x = 100, we get the number of iPhones = 4 * 100 = 400.
So, the number of iPhones is 400.
Solution 2
To solve this problem, we need to follow these steps:
-
First, we need to understand that the ratio 3:4 means that for every 3 Samsung phones, there are 4 iPhones.
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The total ratio is 3 (for Samsung) + 4 (for iPhone) = 7.
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The average number of Samsung and iPhone is 350. This means that the total number of phones (Samsung and iPhone combined) is 350 * 2 = 700. We multiply by 2 because the average is calculated as (Samsung + iPhone) / 2.
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Now, we can find out the number of iPhones by multiplying the total number of phones by the ratio of iPhones. This is (700 * 4) / 7 = 400.
So, the number of iPhones is 400.
Solution 3
To solve this problem, we need to follow these steps:
-
First, we need to understand that the ratio given is 3:4, which means for every 3 Samsung phones, there are 4 iPhones.
-
The average number of Samsung and iPhone is given as 350. This average is obtained by adding the number of Samsung phones and iPhones together and then dividing by 2 (since there are two types of phones).
-
Let's denote the number of Samsung phones as 3x and the number of iPhones as 4x.
-
According to the problem, (3x + 4x) / 2 = 350.
-
Solving this equation, we get 7x / 2 = 350.
-
Multiplying both sides by 2, we get 7x = 700.
-
Dividing both sides by 7, we find that x = 100.
-
Now, we know that the number of iPhones is 4x, so substituting x = 100, we get the number of iPhones = 4 * 100 = 400.
So, the number of iPhones is 400.
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