Please help write a system of equations to represent the scenario
1 answer:
Equations:
x + y = 37
5x + 3y = 161
25 adult tickets
12 student tickets
—————-
Adult tickets are x
Student tickets are y
Equations are for number of tickets sold and price of tickets sold/money earned
x + y = 37
5x + 3y = 161
x = 37 - y
5(37 - y) + 3y = 161
185 - 5y + 3y = 161
- 2y = -24
y = 12
x = 37 - y
x = 37 - 12 = 25
Please let me know if you have questions about this answer
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<h3>
Answer: 216 square feet</h3>
Work Shown:
Old area = 12*15 = 180 square feet
New area = 18*22 = 396 square feet
Difference = New - Old = 396 - 180 = 216
The patio's area increased by 216 square feet.