Answer:
500
105
Step-by-step explanation:
This question would be solved using a simultaneous equation
let
a = number of adults who bought the ticket
b = number of students who bought the ticket
c = number of senior citizens who bought the ticket
a + b + c = 670 eqn 1
10a + 4b + 3c = 5615 -- eqn 2
If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2
a + b + 65 = 670
a + b = 670 - 65
a + b = 605 eqn 3
10a + 4b + 3(65) = 5615
10a +4b = 5420 eqn 4
multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5
10a + 10b = 6050 eqn 5
-
10a + 4b = 5420 eqn 4
= 6b = 630
b = 105
Students who bought the ticket are 105
Substitute for b in eqn 3
a + 105 = 605
a = 500
Adults who bought the ticket are 500
$100?
100+80=180
180-23=157
157-90=67
Hope this helps !
Sqrt18 = 3 sqrt2
sqrt 8 = 2 sqrt2
sqrt18 / sqrt 8 = 3 sqrt2 / 2 sqrt2 = 3/2 answer
Answer:
Step-by-step explanation:
x = smaller number, y = bigger number
7x + 2y = 635
7y - 2x = 871....rearrange...-2x + 7y = 871
7x + 2y = 635....multiply by 2
-2x + 7y = 871...multiply by 7
----------------------------------
14x + 4y = 1270 (result of multiplying by 2)
-14x + 49y = 6097 (result of multiplying by 7)
--------------------------------add
53y = 7367
y = 7367/53
y = 139
7x + 2y = 635
7x + 2(139) = 635
7x + 278 = 635
7x = 635 - 278
7x = 357
x = 357/7
x = 51
solution : x = 51 and y = 139 or (51,139)