Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
Answer:
B
Step-by-step explanation:
formula s =4*pi*r^2
s=4(3.14)(3^2)
s = 12.56(9)s= 113.04
Answer:
3x+12
Step-by-step explanation:
3(x+4)
Use the distributive property to multiply 3 by x+4.
3x+12
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
3
)
,
(
−
3
,
−
5
)
(
1
,
3
)
,
(
-
3
,
-
5
)
Equation Form:
x
=
1
,
y
=
3
x
=
1
,
y
=
3
x
=
−
3
,
y
=
−
5
Answer:
Other number is 278.
Step-by-step explanation:
Given that
a + b = 981
One of the numbers = 703
We assume that it is a ; So
a = 703
Other number = b = ?
Put value of a in a + b
a + b = 981
703 + b = 981
b = 278
