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.
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>
The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
Read more about areas at:
brainly.com/question/24487155
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The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:
Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.
Answer:
B)
Step-by-step explanation:
hope this helped!
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