Let, number of small, medium and large popcorn sold are s, m and l respectively.
So, s + m + l = 250 ....1)
Also, l = 2s ....2)
Total sum = $1726 = 2s + 5m + 10l .....3)
Putting value of l from 2) to 1) is :
s + m + 2s = 250
m + 3s = 250
m = 250 - 3s ....4)
Putting value of m and l in terms of s in equation 3)
We get :
2s + 5( 250 - 3s ) + 20s = 1726
7s = 1726 - 1250
s = 68
l = 136
m = 250 -3(68) = 46
Now,
Hence, this is the required solution.
Answer:
The correct answer is:
and
are the equations that have no solution.
Step-by-step explanation:
First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.
Let the equations be:
and
1. There exists exactly one solution:
2. There exists infinitely many solutions i.e. lines are identical.
3. There exists No solutions i.e. lines are parallel and will never intersect.
Now, let us have a look at the given pair of lines:
Option a)
The ratio:
Hence, the lines are identical, infinite solutions.
Option b)
The ratio:
Hence, exactly one solution.
Option c)
The ratio:
Hence, exactly one solution.
Option d)
The ratio:
Hence, There is no solution.
The correct answer is:
and
are the equations that have no solution.