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3 years ago

Really easy math question

Mathematics

2 answers:

Eddi Din [679]3 years ago

4 0

Number of sodas sold = 130

Number of hot dogs sold = 65

Step-by-step explanation:

Given,

Combined number of sodas and hot dogs sold = 195

Let,

x represent the number of sodas sold

y represent the number of hot dogs sold

According to given statement;

x+y=195 Eqn 1

x = 2y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$2y+y=195\\3y=195$

Dividing both sides by 3

$\frac{3y}{3}=\frac{195}{3}\\y=65$

Putting y=65 in Eqn 2

$x=2(65)\\x=130$

Number of sodas sold = 130

Number of hot dogs sold = 65

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

yarga [219]3 years ago

4 0

Answer:

130 sodas and 65 hot dogs.

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

(x-4)/5=9-(2x-41)/9

jok3333 [9.3K]

For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

$\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}$

$\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}$

$\mathbf{9(x - 4) = 405 - 5 (2x - 41)}$

$\mathbf{9x - 36 = 405 - 10x + 205}$

$\mathbf{9x - 36 = - 10x + 610}$

$\mathbf{9x - 36 + 36 = - 10x + 610 + 36}$

$\mathbf{9x = - 10x + 646}$

$\mathbf{9x + 10x = - 10x + 646 + 10x}$

$\mathbf{19x = 646}$

$\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}$

$\mathbf{\therefore \quad x = 34}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}$

Hope it helps.

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