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Alex
3 years ago
8

6(−2g−1)=−(13g+2) Solve for g

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

g=4

Step-by-step explanation:

san4es73 [151]3 years ago
5 0

Answer:

The solution is g = 4

Step-by-step explanation:

* 6(-2g - 1) = -(13g + 2)

- We need to solve it to find the value of g

- Let us simplify each side and then solve the equation

∵ 6(-2g - 1) = (6)(-2g) - (6)(1)

∴ 6(-2g - 1) = -12g - 6

∴ The simplify of 6(-2g - 1) is -12g - 6 ⇒ (1)

∵ -(13g + 2) = -13g - 2

∴ The simplify of  -(13g + 2) is -13g - 2 ⇒ (2)

- Equate (1) and (2)

∴ -12g - 6 = -13g - 2

- Add 13g to both sides

∴ g - 6 = - 2

- Add 6 to both sides

∴ g = 4

* The solution is g = 4

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c = number of children tickets sold

a = number of adult tickets sold.


we know that 178 total tickets were sold, thus whatever "c" and "a" are, c + a = 178.

the price of a child ticket is $5.4, so the price for all "c" tickets must be 5.4c.

the price of a adult ticket is $9, so the price for all "a" tickets must be ac.

we also know the total sales for all tickets combined is $1310.4, so then 5.4c + 9a = 1310.4.


\bf \begin{cases} c+a=178\implies \boxed{c}=178-c\\ 5.4c+9a=1310.4\\[-0.5em] \hrulefill\\ 5.4c+9\left( \boxed{178-c} \right)=1310.4 \end{cases} \\\\\\ 5.4c+1602-9c=1310.4\implies -3.6c+1602=1310.4\implies -3.6c=-291.6 \\\\\\ c=\cfrac{-291.6}{3.6}\implies c=81

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