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dezoksy [38]
2 years ago
7

Simplify the ratio 24:120

Mathematics
2 answers:
Vaselesa [24]2 years ago
3 0
24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

24:120 / 24:24 = \\  1:5
Temka [501]2 years ago
3 0
24:120=\frac{24}{120}=\frac{24:4}{120:4}=\frac{6}{30}=\frac{6:6}{30:6}=\frac{1}{5}=1:5\\\\Answer:\boxed{24:120=1:5}
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IRISSAK [1]

Answer:  4 ties or draws

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===========================================================

Explanation:

The ratio 2:1:5 is of the format wins:ties:losses where getting a draw is the same as getting a tie.

So one possibility is that they won 2 matches, tied once, and lost 5 matches. The only problem is that it doesn't fit with the statement that "The team lost 12 more matches than they won."

We could guess-and-check our way to the answer, but I think using algebra is the most efficient route.

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Let x = number of ties

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Note the ratio 2x:x:5x reduces to 2:1:5 after dividing everything by x.

Since the team lost 12 more matches than they won, this means,

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The ratio 8:4:20 reduces to 2:1:5 when you divide all parts by the GCF 4.

Also, the gap between 8 wins and 20 losses is 20-8 = 12 to help fully confirm we have the correct answer.

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Step-by-step explanation:

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