Answer:
175 adults
360 senior citizens
Step-by-step explanation:
Let x be the number of senior citizens
There were a total of 535 people, so
(535-x)=total number of adults
Total receipts=$8,355
Adult payments+Senior payments=$8,355
21(535-x)+13x=$8,355
$11,235-21x+13x=$8,355
$11,235-8x=$8,355
-8x=$-2,880
x=360 senior citizens
Number of adults=535-360=175 adults
To check, just substitute...
21(175)+13(360)
3,675+4,680
Which equals.....
$8,355
Number of child tickets: x
Number of adult tickets: y
1) x+y=370
2) 3x+7y=1750
Using the method of substitution
a) Isolating y in the first equation:
1) x+y=370→x+y-x=370-x→y=370-x
b) Replacing y=370-x in the second equation:
2) 3x+7y=1750→3x+7(370-x)=1750
c) Solving for x: Distributive property:
3x+7(370)-7x=1750
3x+2590-7x=1750
Adding similar terms:
-4x+2590=1750
-4x+2590-2590=1750-2590
-4x=-840
Dividing both sides of the equation by -4:
-4x/(-4)=-840/(-4)
x=210
Replacing x=210 in the first equation:
1) y=370-x→y=370-210→y=160
Answer:
The number of child tickets was 210 and
the number of adult tickets was 160
Answer:
Just restart your computer
By using a graphing calculator, the solutions are:
(-3, 4) and (1, 0)
Answer:
the value would be $1,250,000
Step-by-step explanation: