Answer:
The number of tickets sold to the public was 375
Step-by-step explanation:
<u><em>The complete question is</em></u>
At a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. The students paid $15 and public $25. When all the tickets were sold, $10,500 was collected. How many tickets were sold to the public?
Let
x ----> number of tickets sold to the students
y ----> number of tickets sold to the public
we know that
----> equation A
----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (75,375)
see the attached figure
therefore
The number of tickets sold to the public was 375
Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
=========================================
<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
Answer:
b
Step-by-step explanation:
Answer:
m = -1, c = 2
Step-by-step explanation:
if A ( 3, 5) and B (1, 4) lie on the graph of the line mx + cy = 7, then their coordinates satisfy the equation of the line:
A: 
B: 
From the second equation:

Substitute it into the first equation:

The answer is B because the other two sports require cleats but in basketball you dont use cleats.