Quiz Corner # 345 
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1.  VIE AT TENT: By rearranging the letters in this anagram we can find two nine letter words. What are those words?
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2.  ABCD is 4-digit number. Given that:
   BADC - ABCD = 1818
   BADC + ABCD = 15466
   ABDC - ABCD = 18
   ABDC + ABCD = 13666
 
   What is the value of ABCD
3. Abe, Ben, and Charlie pick apples.  Abe and Ben together pick 10 
   apples per minute.  Abe and Charlie together pick 9 apples per minute. Ben and Charlie together pick 7 apples per minute.  How many apples can Ben pick per minute?
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4.  Three brothers buy a bicycle.  Loren, age 15, pays for 1/3 of the .bicycle. Wilbur, age 13, paid for 1/4 of it.  Little Joe, age 8, paid for 1/12 of it. This is all the money they had so their father paid the remaining $30.  How much did the bicycle cost?

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ANSWERS TO THE QUIZ.
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1. 'Attentive' and 'Tentative.'

2. ABCD = 6824

3. Solution:

Eq1    A + B     = 10
Eq2    A +     C = 9
Eq3        B + C = 7
Take Eq1 minus Eq2
Eq4        B - C = 1
Take Eq3 minus Eq4
Eq5           2C = 6
C=3          Charlie picks 3 apples per minute
A=6          Abe picks 6 apples per minute
B=4          Ben picks 4 apples per minute

4. Solution:

Loren       1/3      4/12         $40
Wilbur      1/4      3/12         $30
Little Joe  1/12     1/12         $10
Father               3/12         $30
Total        1      12/12        $120

The bicycle costed $120 dollarsre
1-0.4193= 0.5807 or 58.07%
 
 
 

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