Answers:
- team one = 162
- team two = 108
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Explanation:
The ratio 3:2 scales up to 3x:2x for some positive whole number x.
This tells us that the first team has 3x people and the second team has 2x people. We'll subtract 12 from the first team and add 12 to the second team to represent 12 people moving.
- 3x becomes 3x-12
- 2x becomes 2x+12
The new team counts 3x-12 and 2x+12 represent team 1 and team 2. Those expressions are in the new proportion 5:4.
This means....
(team 1 new count)/(team 2 new count) = 5/4
(3x-12)/(2x+12) = 5/4
4(3x-12) = 5(2x+12)
12x-48 = 10x+60
12x-10x = 60+48
2x = 108
x = 108/2
x = 54
From this, we then can say:
- team 1 original count = 3x = 3*54 = 162
- team 2 original count = 2x = 2*54 = 108
The two subtotals add to 162+108 = 270 players overall.
If we were to subtract 12 from team 1, and add 12 to team 2, then,
- team 1 new count = 162-12 = 150
- team 2 new count = 108+12 = 120
The ratio 150:120 then reduces to 5:4 when we divide both parts by the GCF 30. This helps confirm we have the correct answer.
Answer:
rational
rational
irrational
irrational
Step-by-step explanation:
The denominators are the same, so it is easier to just compare the numerators, as you already know that the denominators are the same. hope that this helped
Answer:
34
Step-by-step explanation:
In the start, it says 20 then 27. It adds up seven, so you add seven constantly. 27+7=34.
