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 the nephew is to receive an amount equal to the sum of the neices' amounts. How much do they receive?

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