Let's call a child's ticket 
and an adult's ticket 
. From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket costs 17,000 and each child's ticket costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:
Let's solve:
- Find on its own, which will allow us to substitute it into the first equation
- Substitute in
for
- Apply the Distributive Property
- Subtract 1972000 from both sides of the equation and multiply both sides by -1
We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
Answer:
The total length of the pathway now is 1,541 ft
Step-by-step explanation:
To calculate the length of the pathway now, what we need to do is to have a consistency in units.
Thus, we need to convert the 513 yards to ft
Mathematically 1 yard = 3 feet
Thus 513 yards will be = 513 * 3 = 1,539 ft
Thus the total length of the pathway now will be 1539 ft + 2 ft = 1541 ft
Answer:
Step-by-step explanation:
12 inches is in a foot
10 x 7= 70
2 x 7= 14
70+14=84
Answer:
the cost of 1 full price ticket is $9.5
Step-by-step explanation:
For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395
Let x be the number of full price tickets and y be the number of discount tickets
the theater sold 130 full-price ticket for a total of $1235 the total sales
130 full price tickets sold for $1235
the cost of 1 full price ticket is
the cost of 1 full price ticket is $9.5
