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Aliun [14]
3 years ago
13

Declan has n baseball cards. Sam has 4 times as many baseball cards as Declan. Amaya has fewer baseball cards than Sam. Which ex

pression represents the number of baseball cards that Amaya has?
Mathematics
1 answer:
Paul [167]3 years ago
7 0
Here is a possible answer .

First you would have to multiply 4 and n. You can show that as 4n. That is the expression for Sam. If Amaya has less, you can write it as A<4n. I hope this helped!
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Step-by-step explanation:

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4 years ago
The ratio of athletes in the two teams is 3:2. After 12 athletes move from first team to second, the ratio is 5:4. Find the numb
Alex

Answers:

  • team one = 162
  • team two = 108

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

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.

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3 years ago
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Divide 6.98 by 12

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44% of people are men
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