A ride at a carnival has two types of cars for children to ride one type has two seats and one has four seats there are 25 cars and they can seat a total of 70 children how many four seated cars are there

10

Step-by-step explanation:

To solve this problem you need to create a system of equations. In these equations, use a = 2-seated car and b = 4- seated car

The first equation that you can make can be a + b = 25 because the number of 2-seated cars plus the number of 4-seated cars is going to equal a total of 25 cars.

The next equation you can make is 2a + 4b = 70 because the number of seats provided by the 2-seated cars plus the number of seats provided by the 4-seated cars will equal 70 total seats.

Next, line up the equations and solve:

Step one: Line up the equations

a +  b = 25

2a + 4b = 70

Step two: Multiply the top equation by -2 so that you can add both of                                        the equations together

-2(a) + -2(b) = 25(-2)   ⇒   -2a - 2b = -50

2a +    4b = 70         ⇒    2a + 4b = 70

-2a - 2b = -50

+ 2a + 4b = 70

______________

2b = 20

Step four: Divide both sides by 2 in order to solve for b

2b = 20 ⇒ b = 10

Because b represents the number of 4-seated cars, you now know that there are 10 4-seated cars on the ride.

Related Questions

16 increased by twice a number is -24

Simplify
Plz help! and explain how you got the answer

Step-by-step explanation:

When dividing two exponents (of the same bases) you subtract the exponents.  When there is an exponent to an exponent, you multiply the to exponents.

A graph has the equation Y=x/8 what is the constant of proportionality

Step-by-step explanation:

y= 1/8x

below are the x:y relationships

x:y

4:0.5

8:1

12: 1.5

16:2

20:2.5

24:3

28:3.5

32:4

etc.

-36(π/180) = - π/ 5

Step-by-step explanation:

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden. Write an expression that represents the area of Mary's new garden. Evaluate the expression if the side length of Mary's origanal garden was 8 feet

Step-by-step explanation:

We have been given that the area of a square is given by , where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

Therefore, the expression will represent the area of Mary's new garden.

To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.

Therefore, the area of Mary's new garden will be 128 square feet.

128 feet

Step-by-step explanation:

N/A

Evaluate |-7| + 3|4|
A. 0
B.5
C.19

The answer is going to be 19.

C. 19

Step-by-step explanation:

Order of operations

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Subtract

44 hundreds times 4 hundreds equals 176 what

It would equal 17600000. An easy way to solve this is to just multiply 44 by 4, which is 176 and just add the zeros to your answer. So, 44,000 x 400 = 17600000
Hope this helped :)

You roll a standard number cube. Find P (number less than 4). A. 1/6
B. 1/2
C. 2/3
D. 2/1

A standard number cube has 6 sides.

P is any number less than 4 (or 3,2, and 1).

3, 2, and 1 are 3 numbers

Place the number 3 over the amount of numbers there is.

3/6.

Simplify. Divide 3 from the numerator and denominator.

(3/6)/(3/3) = 1/2

hope this helps!

What is 5 over 6 divided by 2 over 7