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Shalnov [3]
3 years ago
12

202 tickets are sold. a child costs $6 and an adult ticket costs $10. How may tickets of each were sold if the receipts totaled

$1708?
Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

The number of child tickets = 78 and the number of adult tickets = 124

Step-by-step explanation:

Let the number of child ticket is x and the adult ticket is y

∴ x + y =202 ⇒ (1)

∵ The cost of child ticket is $6 and adult ticket is $10

∴ 6x + 10 y = 1708 ⇒ (2)

Solve the system of equations (1) and (2)

Multiply (1) by -6 to eliminate x

∴ -6x + -6y = -1212 ⇒ (3)

Add (2) and (3)

∴ 4y = 496

∴ y = 124

Substitute the value of y in (1)

∴ x + 124 = 202 ⇒ x = 202 - 124 = 78

∴ The number of child tickets = 78 and the number of adult tickets = 124

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Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


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A football field is 100 yards long. How many feet is that?
Dmitriy789 [7]

1 yard=3 feet so 100 yard=300 feet

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What is a trinomial?
Kay [80]

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ASAP!: can anyone solve three times the difference of Federico age and 4 increased by 7 is greater than 37 what are possible val
Alexandra [31]

Answer:

Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on

Step-by-step explanation:

Let Federico's age = x

Three times the difference of Federico’s age, and 4 means:

3(x - 4)

Increased by 7:

3(x - 4) + 7

Is greater than 37:

3(x - 4) + 7 > 37

Solving the inequality:

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3 years ago
1. **What is the slope of a line that passes through the points (-1,30) and (4, 10)
tresset_1 [31]

Answer:

Slope = -4

Step-by-step explanation:

Given points are :

(-1,30) and (4, 10)

We need to find the slope of the line that passes through these points.

We know that, the formula for the slope of line is given by :

m=\dfrac{y_2-y_1}{x_2-x_1}

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10

Put values in the above formula.

m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4

So, the slope of the line is -4.

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3 years ago
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