The sports house with the largest share received 1,440 shorts.
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Step-by-step explanation:
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Given:
Let n be the total number of basketball shorts, n = 3,600
Ratio is 1:2:3:4
Let x be the number of shorts the first sports house received
Let 2x be the number of shorts the second sports house received
Let 3x be the number of shorts the third sports house received
Let 4x be the number of shorts the fourth sports house received
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Required:
Number of shorts the sports house with the largest share received
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Equation:
n = x + 2x + 3x + 4x
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Solution/Calculation:
Find the value of x
Substitute the value of n which is 3,600
n = x + 2x + 3x + 4x
3,600 = x + 2x + 3x + 4x
3,600 = 10x
x = [tex]\frac{3,600}{10}[/tex]
x = 360
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Find the number of shorts the first sports house received
= x
= 360
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Find the number of shorts the second sports house received
= 2x
= 2(360)
= 720
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Find the number of shorts the first sports house received
= 3x
= 3(360)
= 1,080
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Find the number of shorts the fourth sports house received
= 4x
= 4(360)
= 1,440
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Checking:
n = x + 2x + 3x +4x
3600 = 360 + 720 + 1,080 + 1,440
3600 = 3600 ✓
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Answer:
The sports house with the largest share received 1,440 shorts.
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