1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leya [2.2K]
3 years ago
9

Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade

cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up? What equation would I use to find the answer?
Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

  • Iced tea is $4.50 per gallon
  • Lemonade is $4.75 per gallon

Step-by-step explanation:

<u>Price</u>:

  • Iced tea = x, lemonade = y

<u>Equations</u>:

  • 2x + 3y = 23.25
  • 5x + 4y = 41.50

<u>Multiply the first equation by 5 and the second equation by 2 and subtract to eliminate x:</u>

  • 5(2x + 3y) - 2(5x + 4y) = 5(23.25) - 2(41.50)
  • 10x + 15y - 10x - 8y = 33.25
  • 7y = 33.25
  • y = 33.25/7
  • y = 4.75

<u>Use the first equation to find x:</u>

  • 2x + 3(4.75) = 23.25
  • 2x = 23.25 - 14.25
  • 2x = 9
  • x = 9/2
  • x = 4.50

Iced tea costs $4.50 per gallon

Lemonade costs $4.75 per gallon

You might be interested in
Pls help i hate these problems: x-12%=33
MaRussiya [10]

Answer:

33.12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The quotient of 37.2/6 is?
Dimas [21]

Answer:

6.2

Just normal division

4 0
3 years ago
Read 2 more answers
Sami leave his house at 3:45 PM and walks to karlas house in 15 minutes he stays at karlas house for five minutes and then walks
chubhunter [2.5K]
Sami arrives at the library at 4:15. Why? Well is says she took 15 minutes to walk to karlas house so when she arrives it’s 4:00 PM. Than, she stays at karlas house for 5 minutes which puts her at 4:05 PM. After that is Sami took 10 minutes to get to the library so that puts Sami at 4:15 PM. Hope this helps!
6 0
3 years ago
The nth term of a sequence is 20 - n2
maks197457 [2]

Answer:

11

Fifth term

Step-by-step explanation:

The third term is:

20 − (3)² = 11

If the term is negative:

20 − n² < 0

n² > 20

n > √20

n > 4.47

The first term to have a negative value is the fifth term.

5 0
3 years ago
Find the periodic withdrawals PMT for the annuity given. HINT [See Example 4.] (Assume end-of-period withdrawals and compounding
Anettt [7]
It depends on if the interest rate of 6% is nominal or not.  The question doesn't specify.  Let's assume that is is a nominal rate, compounded monthly.
Start with 100000 = x * a angle 132 at .5% per month
This becomes 100000 = x * (1-1.005^-132)/.005
Which becomes (100000(.005))/(1 - 1.005^-132) = x
So x is the PMT, which is 1036.70.
8 0
3 years ago
Other questions:
  • Take 4a - 3b + 2c from 2a - 3b + 4c. <br> -2a + 2c<br> -2a - 2c<br> 2a + 2c<br> 2a - 2c
    10·1 answer
  • Please help me quickly!
    12·1 answer
  • 3x^2y^4 x 2x^6y simplified
    9·1 answer
  • Michael paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese Michael buy? Is it 3
    12·2 answers
  • The price of a 250$ coat increased 7% last year. the coat is now on sale for one-half off. what is the sale price?
    14·1 answer
  • the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r
    14·1 answer
  • The parallelogram shown below has an area of 21 units. 7 6 8 Find the missing base. B.​
    14·1 answer
  • What is the result of converting 60 ounces to punds remember there are 16 ounces in a pound pleasdnsjjsjs
    9·1 answer
  • What is the mode of the following numbers 5,4, 10, 3, 3, 4, 7, 4, 6, 5, 11, 9, 5, 7
    9·2 answers
  • I’m confused with this question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!