The Jones family went to a play and paid $74 for 2 adults and 2 children. The Tucker family went to the same play and paid $86 f
or 2 adults and 3 children. Enter the price of an adult ticket.
1 answer:
The answer is $25.
x - the price of an adult ticket
y - the price of a child ticket
The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86
This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25
So, the price of the adult ticket is $25 and the price of the child ticket is $12.
You might be interested in
Hello :
<span>(27ax^3 – 9a^2x) ÷ 3ax :
</span> <span>(27ax^3 – 9a^2x) / 3ax
</span> (27ax^3 ) / (3ax) –( 9a^2x) / 3ax = 9x² - 3a
Answer:
9 stickers
Step-by-step explanation:
45/5=9
we divided 45 with 9 since __*5=45 and the figure out the__ we need to do the opposite operation(division)
The mean that the library and calculated is not correct. Her mistake was she divided 55 by 8 instead of dividing by 10.
Please see the attached picture for the work in finding the correct mean of 5.5 books.
P(over 40, root beer drinker) = 30/85 = 6/17
answer
6/17
Answer:
g = (2-x)/3
Step-by-step explanation:
PLS GIVE BRAINLIEST