An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receives $15,000 more than the youngest
How much did each receive?
The eldest sibling received ?the middle sibling received ?and the youngest sibling received?

The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

Step-by-step explanation:

Step 1:  Make an equation

686,000 = 2y + (15,000 + y) + y

Step 2:  Solve for y

686,000 - 15,000 = 2y + 15,000 + y + y - 15,000

671000 / 4 = 4y / 4

167,750 = y

Step 3:  Figure the amount of money the middle sibling gets

m = y + 15,000

m = 167,750 + 15,000

m = 182,750

Step 4:  Figure the amount of money the oldest sibling gets

o = 2y

o = 2(167,750)

o = 335,500

 The oldest gets -> $335,500

                The middle gets -> $182,750

                The youngest gets -> $167,750

$335,500

$182,750

$167,750

Step-by-step explanation:

Let the amount received by the eldest sibling be A , the middle sibling be B and the youngest sibling be C.

Given

The eldest A received two times as the youngest C.

That’s

A = 2C

Also,the middle sibling received $15000 more than the youngest .

That’s

B = C + $15000

Therefore,

A + B + C = $686000

We now have three expressions

A = 2C

B = C + 15000

A + B + C = 686000

Substitute the first two expressions or values of A and B into the third expression

We have

2C + C + 15000 + C =686000

Rearrange the expression as

2C + C + C + 15000 =

4C + 15000 = 686000

Subtract 15000 from both sides

4C + 15000 - 15000 = 686000 - 15000

4C = 671000

Divide both sides by by 4

C = 671000/4

C = 167750

C = $167,750

The youngest sibling received $167,750

Recall,

A = 2C

Therefore

A = 2 x $167,750

A = $335,500

The eldest sibling received

$335,500

Also,

B = C + $15000

B = $167,750 + $15000

B = $182,750

The middle sibling received $182,750

The eldest sibling received $335,500

The middle sibling received $192,750 and

The youngest sibling received $167,750

2 is the final ! : )

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.