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Delvig [45]
3 years ago
15

CAN ANYONE HELP ME PLEASE? Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and fo

ur children must pay $106. Two adults and three children must pay $75. Find the price of the​ adult's ticket and the price of a​ child's ticket.
Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

The adult ticket costs $18 and the children ticket costs $13.

Step-by-step explanation:

Let the price of the adult ticket be a.

Let the price of the children ticket be c.

Three adults and four children must pay $106. This implies that:

3a + 4c = 106 _______(1)

Two adults and three children must pay $75. This implies that:

2a + 3c = 75 ________(2)

We have two simultaneous equations:

3a + 4c = 106 _____(1)

2a + 3c = 75 ______(2)

Multiply (1) by 2 and (2) by 3 and subtract (1) from (2):

  6a + 9c = 225

- <u>(6a + 8c = 212)</u>

             c = $13

Put this value of c in (2):

2a + 3*13 = 75

2a + 39 = 75

=> 2a = 75 - 39

2a = 36

a = 36/2 = $18

Therefore, the adult ticket costs $18 and the children ticket costs $13.

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The slope and y-intercept of this function is

B. The slope is 5/6, The y-intercept is (0, -3

<h3>How to find the slope and the y-intercept</h3>

Linear function is a function of the form y = mx + c

m = slope

c = intercept

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculated using the points (0, -3) and  (6, 2)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - -3) / (6 - 0)

m = (5) / (6)

m = 5/6

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c = -3

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8 0
1 year ago
What value correctly fills in the blank so that the expressions are equivalent?
Rasek [7]

Answer:

8

Step-by-step explanation:

Notice:

32 = (8 x 4)

72 = (8 x 9)

Hence,

32 + 72

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7 0
3 years ago
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Sketch a 3 by y square. Find its area in terms of y show your reasoning
user100 [1]
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7 0
3 years ago
7/22 rounded to the nearest thousand
saw5 [17]

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Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Vanyuwa [196]

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

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l = 30 - w → (1)

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Substitute l = 30 - w into (2)

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Equate each factor to zero and solve for w

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w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

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