Answer:
10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x+y = 24
3x+5y = 100
We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...
3x+3y=72
3x+5y=100
Now, subtract the first equation from the second equation...
2y=28
Divide both sides by 2
y=14
Plug this back into any of the equations to solve for x...
x+14=24
x=10
There were 10 three-point questions and 14 five-point questions
Answer:
The number of child tickets sold by the amusement park is 189.
Step-by-step explanation:
Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:
3:1 = C:A .................... (1)
Where;
C = ?
A = 63
Substituting for the value into equation (1), we have:
3:1 = C:63
This can be converted to solve for C as follows:
3 / (3 + 1) = C / (C + 63)
3 / 4 = C / (C + 63)
0.75 = C / (C + 63)
0.75(C + 63) = C
0.75C + (0.75 * 63) = C
0.75C + 47.25 = C
47.25 = C - 0.75C
47.25 = 0.25C
C = 47.25 / 0.25
C = 189
Therefore, the number of child tickets sold by the amusement park is 189.
Answer:
M=6
Step-by-step explanation:
Answer:
<u>4(1 – x) + 2 x = -3( x + 1)</u>
first do 4 time 1= 4
then do 4 times x =4x
now the equation should look like this
4-4x+2x=-3(x+1)
then do the other side of the equation
-3(x+1)
=-3x-3
Now collect the like terms:
-4x-2x
now the equation should look like this
4-2x=-3x-3
now add 3x add on both sides
4-2x+3x=-3
put the 4 on the other side
-2x+3x=-3-4
now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)
x=-7
answer
x=-7
