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Problem Solving (PS) | Re: Mona and Donald fly to Rome for the weekend. They take cash only in

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Bunuel wrote:

Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 40 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take?

A. 70
B. 80
C. 100
D. 120
E.150


Solution:

  • Let the no. of\(€10\) notes with Donald be\( =x\)
  • Then no. of\(€10\) notes with Mona will be\( =3x\)

  • Let the no. of\($10\) notes with Donald be\( =y\)
  • Then no. of\($10\) notes with Mona will be\( =y\)

  • According to the question, no. of\(€10\) notes they take is double the no. of\($10\) notes
  • Or\( 3x+x=2\times(y+y)⇒4x=4y⇒x=y\)

  • According to the question, Donald carries a total of 40 notes orx+y=40
    \(⇒x+x=40\) (because\(x=y\))
  • ⇒x=y=20

  • Finally. total number of notes they take\(=x+3x+y+y\)
    \(=4x+2y\)
    \( =4\times 20+2\times20\)
    \(=120\)


Hence the right
...

Statistics : Posted by SaquibHGMATWhiz • on 22 Sep 2023, 01:30 • Replies 2 • Views 210



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