Answer:
5:21
Step-by-step explanation:
We know that currently (in the problem) it is 25 min before 4, or 3:35. When we add an hour to that (first part of the problem), we get 4:35. The way l like to continue from here is to take the second part (the 46 min) and just use part of it to round the hour off, and then add the other part to it.
From 4:35 to 5, we have 25 min
4.35 + 25 = 5
We subtract those 25 min from the 46 min, since we used them to round the hour off.
46 - 25 = 21
We have 21 min left, and now that the hour is rounded off, it's way easier to add minutes to it.
5 + .21 = 5.21.
So an hour and 46 min from 3:35 it will be 5:21. I hope this helps :)
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