let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Answer:
Parallel lines
Step-by-step explanation:
Parallel lines lie in the same plane but <em>never</em> intersect.
82 left after 3 rides b=100-6(3)
58 left after 7 rides b=100-6(7)
16 left after 14 rides b=100-6(14)
Answer:
The number is 42.
Step-by-step explanation:
Let x be the unknown number.
"two less than a number" is x - 2
Quotient means the result of a division.
(x - 2)/5 = 8
Multiply both sides by 5.
x - 2 = 40
Add 2 to both sides.
x = 42
Answer: The number is 42.
Check.
Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.
Answer:
Since while finding a percent change i.e. to find the percent increase or decrease in the quantity the old value or we can say the original value plays a vital role.
<em>" Because Percentage Change is all about comparing old to new values "</em>
If we do not know the original value then there is no means of comparing the new quantity, the new quantity is to be measured with respect to the old quantity.Hence, the original quantity is to be kept in the denominator.
1) First: work out the difference (increase) between the two numbers you are comparing.
2) Increase = New Number - Original Number.
3) Then: divide the increase by the original number and multiply the answer by 100.
4) % increase = Increase ÷ Original Number × 100.
