Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 99.
Two adults and three children must pay $ 70. Find the price of the adult's ticket and the price of a child's ticket.
1 answer:
Answer:
An adult ticket is 17
A childs ticket costs 12 dollars
Step-by-step explanation:
Let a = adult price
c = child price
3a + 4c = 99
2a + 3c = 70
Multiply the first equation by 2
2(3a + 4c) = 99*2
6a + 8c = 198
Multiply the second equation by -3
-3 (2a + 3c) = 70*-3
-6a -9c = -210
Add these new equations together
6a + 8c = 198
-6a -9c = -210
----------------------
-c = -12
Multiply by -1
c = 12
A childs ticket costs 12 dollars
Now we need to find the price of an adult ticket
2a + 3c = 70
2a + 3(12) = 70
2a +36 = 70
Subtract 36 from each side
2a +36-36 =70-36
2a = 34
Divide by 2
2a/2 = 34/2
a = 17
An adult ticket is 17
You might be interested in
14 multiplied by 9 is 126
The answer is 126ft
Answer:
1.) y= 3
2.) y = 3/4 x -3
Step-by-step explanation:
Answer:
584.57
Step-by-step explanation:
Answer: 12.10
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula to calculate the z-score :-

For x= 5 degrees

For x= 10 degrees

The P-value : 

In percent , 
Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%
B. Cannot have 2 y points on the same x point. Confirm with the vertical line test.