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Andru [333]
2 years ago
10

Write the sentence as an equation and solve. Twice the difference between 5 times a number and 6 is 18. please help!​

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
4 0
Twice the difference between 5 times a number and 6 equals 18:

2(5x-6)=18

We need to solve for x:

5x - 6 = 2(difference) = 18

The difference must equal 9.
In order for the difference to equal 9, x must equal 3.

5(3) - 6 = 2(difference) = 18

Let's solve:

15 - 6 = 2(9) = 18

Therefore, in this equation, x = 3.
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48 adult tickets and 24 children tickets were sold.

Step-by-step explanation:

Given,

Cost of one adult ticket = $8

Cost of one child ticket = $3

Total worth of sold tickets = $456

Let,

Number of adult tickets sold = x

Number of child ticket sold = y

According to given statement;

8x+3y=456     Eqn 1

x = 2y              Eqn 2

Putting value of x from Eqn 1 in Eqn 2

8(2y)+3y=456\\16y+3y=456\\19y=456

Dividing both sides by 19

\frac{19y}{19}=\frac{456}{19}\\y=24

Putting y=24 in Eqn 2

x=2(24)\\x=48

48 adult tickets and 24 children tickets were sold.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/11253316
  • brainly.com/question/11258952

#LearnwithBrainly

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