There are three unknowns in this problem. First, let's assign variables for these unknowns.

Let
x be the amount received by the first friend
y be the amount received by the second friend
z be the amount received by the third friend

Next, we formulate equations for the relationships

x = 4z
z = 4y
x + y + z = $231,000

Solving simultaneously,

4(4y) + y + 4y = $231,000
21y = $231,000
y = $11,000
z = 4($11,000) = $44,000
x = 4($44,000) = $176,000

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3 years ago

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Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if BY = 3, YC = 2

Mazyrski [523]

Answer:

The ratio of the area of triangle XBY to the area of triangle ABC is $\frac{9}{25}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

In this problem

Triangles XBY and ABC are similar, because the corresponding internal angles are congruent

see the attached figure to better understand the problem

step 1

Find the scale factor

Let

z-------> the scale factor

$z=\frac{BY}{BC}$