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VikaD [51]
2 years ago
5

For a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each bag will

receive an equal share of 54 tickets and 36 posters.
(a) What is the greatest number of goodie bags that can be created? Explain your reasoning.
(b) How many of each type of giveaway will be in each bag? Explain your reasoning.
Mathematics
2 answers:
CaHeK987 [17]2 years ago
8 0
6 goodie bags, 9 tickets, and 6 posters
Marina86 [1]2 years ago
8 0

Answer:(a)The greatest number of goodie bags that can be created=18

(b)There must be 3 tickets and 2 posters in each bag.

Step-by-step explanation:

(a)Total tickets= 54

Total posters=36

To find the greatest number of goodie bags that can be created ,

we find Greatest common factor of 54 and 36

54=2×3×3×3.............(1)

36=2×2×3×3...........(2)

⇒ gcf (54,36)=18

⇒ the greatest number of goodie bags that can be created=18

(b)  We know that

Number of tickets=54=18×<u>3</u>

Number of posters=36=18×<u>2</u>

So there must be 3 tickets and 2 posters in each bag.



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ziro4ka [17]

The value of x is -8

Step-by-step explanation:

The steps of solving an equation of one variable

  1. Simplify the two sides of the equation
  2. Separate the variable in one side and the numerical term in the other side
  3. Divide the both sides by the coefficient of the variable

∵ 372 = -3x - 6(8x + 6)

- Simplify the R.H.S. of the equation by multiplying the bracket by 6

∵ 372 = -3x - [6(8x) + 6(6)]

- You must put the square bracket because the sign in-front of 6

  is (-) and the (-) changes the signs after it

∴ 372 = -3x - [48x + 36]

- Remember (-)(+) = (-), multiply the square bracket by (-)

∴ 372 = -3x - 48x - 36

- Add the like terms in the R.H.S.

∴ 372 = -51x - 36

- Add 36 to both sides to separate x in the R.H.S.

∴ 408 = -51x

- Divide both sides by -51 (coefficient of x)

∴ -8 = x

I hope these steps help you

The value of x is -8

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

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