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lukranit [14]
3 years ago
8

Two adults and 9 students cost $50 to attend

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

Step-by-step explanation:

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
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Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

z ≥ 11

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3 years ago
William bought a new sweater at the store when they were having a 45% off sale.
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William payed $8.55 at the discount price
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Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate
Charra [1.4K]

Option A and B are correct.

Step-by-step explanation:

We are given the following systems of equation:

2x + 6y = 12 \\4x + 3y = 15

We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.

Checking the options:

a) Multiply the second equation by −2 to get −8x − 6y = −30

If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.

b)  Multiply the first equation by 2 to get 4x + 12y = 24.

If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.

c) Multiply the second equation by −4 to get −16x − 12y = −60

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

d) Multiply the first equation by −4 to get −8x − 24y = −48.

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

So, Option A and B are correct.

Keywords: Solve System of equations

Learn more about solving system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/2115716
  • brainly.com/question/13168205

#learnwithBrainly

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What is the value of x?
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"explain how you know" and i will give brainliest:)
larisa [96]

Answer:

Step-by-step explanation:

first one is 9,14 the second one is 1,3 and the last one is 1, -3

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