Miss Marple’sgrandfather passed away and she attended the reading of the will. The estate was valued at $8,424,000. It was decided that 23of the estate would be given to his children. Of the remainder, 15would be used to create a scholarship for mathematics majors at a local university and the rest would be divided evenly among his fourgrandchildren, of which Miss Marplewas one. a.How much money was used for the scholarship?[3 pts]b.What fractionof the estate did Miss Marpleend up inheriting?

Respuesta :

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The amount of money used for scholarship and the fraction of the estate gotten by Miss Maple are :

  • Scholarship amount = $561,600
  • Fraction gotten by Miss Maple = 1/30

The entire fraction of the estate = 1/1

Fraction given to children = 2/3

Fraction left = Total - fraction given to children

Fraction left = 1/1 - 2/3 = 1/3

For scholarship :

1/5 of fraction left :

1/5 of 1/3 = 1/5 × 1/3 = 1 /15

Fraction Given to grand children :

1/5 - 1/15 = 2/15

Amount of money used for scholarship :

1/15 × 8424000 = $561,600

B.)

Since There are four grand children and it was equally shared among them:

Miss Maple is one of the grand children:

Fraction each grandchild gets is :

2/15 ÷ 4

2/15 ÷ 4/1

2/15 × 1/4 = 2/60 = 1/30

Hence, miss Maple will get 1/30

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