Answer:
price of each bags of popcorn = $9.75
price of each drinks = $5
Step-by-step explanation:
Let
price of each bags of popcorn = a
price of each drinks = b
Caleb total cost
7a + 2b = 78.25.......(i)
Jeremiah total cost
a + 10b = 59.75.......(ii)
7a + 2b = 78.25
a + 10b = 59.75
a = 59.75 - 10b
insert the value of a in equation (i)
7a + 2b = 78.25
7( 59.75 - 10b) + 2b = 78.25
418.25 - 70b + 2b = 78.25
418.25 - 68b = 78.25
418.25 - 78.25 = 68b
340 = 68b
b = 340/68
b = 5
Insert the value of b in equation (ii)
a + 10b = 59.75.......(ii)
a + 10 × 5 = 59.75
a = 59.75 - 50
a = 9.75
price of each bags of popcorn = $9.75
price of each drinks = $5
Answer:
300ml
Step-by-step explanation:
As values are missing in your question, the complete question is:
In the lab, Leila has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. She uses 400 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 12% alcohol solution?
Considering x=ml of 20% solution B
Therefore, 400+x=ml of resulting 12% solution
Solution A alcohol+ solution B alcohol= Alcohol solution
6% (400)+ 20%x = 12%(400+x) ->(converting percentage into decimal)
.06*400+.2x=.12(400+x)
24+.2x=48+.12x
.08x=24
x=24/.08=300 ml
she used 300 milliliters of 20%Solution B in resulting mixture.
Answer:
Haircuts cost $50.33
Hair Color costs $80.33
Step-by-step explanation:
Let haircut be cost "a"
coloring be cost "b"
2 haircut, 4 coloring equals 422, we can write:
2a + 4b = 422 {Equation 1}
5 haircut, 4 coloring, equals 573, we can write:
5a + 4b = 573 {Equation 2}
We now multiply equation 1 with -1 and add it with Equation 2 to get:
-1(2a + 4b = 422) = -2a - 4b = -422
Now,
-2a - 4b = -422
5a + 4b = 573
----------------------
3a = 151
a = 151/3 = $50.33
Now, to find b, we plug in this value into any equation and solve for b:
2a + 4b = 422
2(50.33) + 4b = 422
4b = 422 - 100.66
b = $80.33
Haircuts cost $50.33
Hair Color costs $80.33
