If y=-4+11 and 3x+y=9 what is the value of y
1 answer:
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Answer:
The system is of equations is:
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
And a total of 60 tickets were sold. Hence:
Our system of equations is:
We can solve by substitution. First, divide both sides of the first equation by 5:
Next, we can subtract a variable (r in this case) from the second equation:
Substitute:
Distribute:
Simplify:
Subtract:
Using the previous equation:
Substitute and evaluate:
So, 35 general tickets and 25 reserve tickets were sold.
Answer:
a : b = 25 : 9
Step-by-step explanation:
(3a - 5b) : (3a + 5b) = 1 : 4
Product of extremes = product of means
(3a - 5b) *4 = (3a +5b) * 1 {Distributive property}
3a * 4 - 5b*4 = 3a + 5b
12a - 20b = 3a + 5b
Add 20b to both sides
12a = 3a + 5b + 20b
12a = 3a + 25b
Subtract 3a from both sides
12a - 3a = 25b
9a = 25b
a:b = 25 : 9