9p- 18=27 what is p?
1 answer:
You might be interested in
125 children tickets were sold
<u>Solution</u>:
Given that
Price of 1 ticket sold to children = $5
Price of 1 ticket sold to adult = $12
Total number of ticket sold = 400
Amount generated by selling 400 tickets = $3925.
Need to calculate number of ticket sold to children’s
Let’s assume number of tickets sold to childrens = x
So number of tickets sold to adults = 400 – x
Amount generated from x ticket sold to children
Amount generated from (400 – x) tickets sold to adults
<em>Total amount generated from 400 tickets = Amount generated from children’s tickets + Amount generated from adults ticket </em>
= 5x + (4800 – 12x) = 4800 -7x
As given that amount generated = 3965
=> 3965 = 4800 – 7x
Solving above expression to get value of x, we get
7x = 4800 - 3965
=> 7x = 875
=> x = 125.
Hence number of children tickets sold = 125.
Equations with absolute value:
Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).
How to solve:
Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}
2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6
3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}
4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}
5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5
Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).
How to solve:
Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}
2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6
3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}
4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}
5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5