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lord [1]
3 years ago
10

Mark gave 21 tadpoles to his 3 friends. Mark gave twice as many tadpoles to David as he did Chris.George received twice as many

tadpoles as David. How many tadpoles did each friend receive?
Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

Number of tadpoles Chris has = 3

Number of tadpoles David has = 6

Number of tadpoles George has = 12

Step-by-step explanation:

Given: Total number of tadpoles divided among 3 friends = 21

Number of tadpoles Mark gave to Chris = A  

Number of tadpoles Mark gave to David = B = 2A

Number of tadpoles Mark gave to George = C = 2B = 2(2A) = 4A

∴ Total number of tadpoles = A + B + C

⇒ 21 = A + 2A + 4A

⇒ 21 = 7A

⇒ A = 21 ÷ 7 = 3

∴ Number of tadpoles Chris has = A = 3

Number of tadpoles David has = B = 2A = 2(3) = 6

Number of tadpoles George has = C = 2B = 2(2A) = 4A = 4(3) = 12

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Which of the following statements is equivalent to 10x – 30?
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3 years ago
2. At 1 pm, you leave Ellensburg at a constant speed of 75 miles per hour. At 2:30 pm, your
MA_775_DIABLO [31]

Here, we are required to determine how many hours your friend will drive in order to catch you.

(a)<em> Your friend will have to drive 7 and a half hours inorder to catch </em><em>you.</em>

<em>(</em><em>b)</em><em> </em><em>You </em><em>both </em><em>will </em><em>be </em><em>6</em><em>7</em><em>5</em><em> </em><em>miles</em> <em>away </em><em>from </em><em>Ellensburg</em><em> </em><em>at </em><em>that </em><em>time.</em>

If you leave at 1 pm; At 2:30pm;

  • That is; 1 and a half hours after leaving; you must have covered a distance, d = 75 × 1.5
  • d = 112.5miles.

Therefore, your position; S after 2:30pm is given by;

S(a) = 75t + 112.5 miles from Ellensburg.

For your friend; travelling at 90miles/hr;

  • His position is given as; S(b) = 90 × t

(a) For your friend to catch you, you both must be in the same position;

  • i.e S(a) = S(b)

75t + 112.5 = 90t

90t -75t = 112.5

t = 112.5/15

t = 7.5hours

(b) To determine how far you both are from Ellensburg; we can either evaluate:

S(b) = 90t or S(a) = 75t + 112.5

Therefore, By evaluating S(b) = 90t.

S(b) = 90 × 7.5

S(b) = 675miles from Ellensburg.

Read more:

brainly.com/question/24234606

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