Question

$\huge\sf{Question}$
There are 14 red and 9 blue balls in a basket. The total weight of the blue and red balls is 128.61g A blue ball is 2.79g heavier than a red ball. Find the weight of a blue ball

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Answer 1

Answer:

Let the red ball be x

blue ball = 2.79+x

So 14 red ball = 14x

So 9 blue ball =9x +25.11

So total weight =

25.11+9x+14x =128.61

25.11+23x =128.61

23x =128.61-25.11=

23x= 103.50=

x = \frac{103.50}{23}x=

23

103.50

x = \frac{10350}{23 \times 100}x=

23×100

10350

x = \frac{10350}{2300}x=

2300

10350

X=4.5

So red ball weight = 4.5g

So blue ball = 4.5g+2.79g

Blue ball = 7.29. Answer

Answer 2

Answer:

Hello Finex!

Your answer is 7.29g

Step-by-step explanation:

Let the red ball be r and blue ball be b

$r \to \: 14 \\ \\ b \to \: 9 \\ \\ b = r + 2.79$

Total weight =128.61g

$14r + 9b = 128.61 \\ \\ 14 \: r + 9(r + 2.79) =128.61 \\ \\ = 14r + 9r + 25.11 = 128.61 \\ \\ = 23r = 103.5 \\ \\ \therefore \: r = \frac{103.5}{23} \\ \\ = 4.5g \\ \\ b = 4.5 + 2.79 \\ \\ = 7.29g$

Hence blue ball is 7.29 g

Hope it helps you from my side