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bonufazy [111]
3 years ago
8

HELP MEEEEEEEEEEEEEEEEEE

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
11.5 ft2 I’m pretty sure lol
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The sum of the masses of two heavyweight boxers is 190kg. ⅘ the heavier boxer is 10kg less than the mass of lighter boxer. Find
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Answer:

<em>Their masses are 100 kg and 90 kg</em>

Step-by-step explanation:

<u>Equations</u>

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that \frac{4}{5} of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

\displaystyle \frac{4}{5}x=190-x-10

Operating:

\displaystyle \frac{4}{5}x=180-x

Multiplying by 5:

\displaystyle 4x=5(180-x)

\displaystyle 4x=5*180-5x

Simplifying:

\displaystyle 9x=900

x=\frac{900}{9}=100

The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.

Their masses are 100 kg and 90 kg

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