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alisha [4.7K]
3 years ago
8

An uncle wills 3000.00 to his 2 nieces and one nephew. The older niece is to receive twice what the younger niece receives and t

he nephew is to receive an amount equal to the sum of the neices' amounts. How much do they receive?
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

Nephew receive 1500.00

Older niece receive 1000.00

Younger niece receive 500.00

Step-by-step explanation:

Let assume a variable x,y,z for the niece, older niece and the nephew respectively.

Y= 2x (Twice the younger niece)

Z= x + y. (Sum of the two nieces)

Since y = 2x

Z = x+2x

Z= 3x

Therefore:

X = 1x

Y = 2x

Z = 3x

So the will will be shared among them in the ratio

Nephew : older niece : younger niece

3 : 2 : 1

Nephew. 3/6 x 3000 = 1500.00

Older niece 2/6 x 3000 = 1000.00

Younger niece 1/6 x 3000 = 500.00

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