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
Yuri [45]
3 years ago
11

For a class picnic two teachers went to the same store to purchase drinks one teacher purchased 18 juice boxes and 32 bottles of

water and spent $19.92 the other teacher Purchased 14 Juice Boxes and 26 Boxes of water and spent $15.76
Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24

<em><u>Solution:</u></em>

Let "j" be the cost of each juice box

Let "w" be the cost of each bottles of water

<em><u>One teacher purchased 18 juice boxes and 32 bottles of water and spent $19.92</u></em>

Therefore, we frame a equation as:

18 x cost of each juice box + 32 x cost of each bottles of water = 19.92

18 \times j + 32 \times w = 19.92

18j + 32w = 19.92 ------ eqn 1

<em><u>The other teacher Purchased 14 Juice Boxes and 26 Boxes of water and spent $15.76</u></em>

Therefore, we frame a equation as:

14 x cost of each juice box + 26 x cost of each bottles of water = 15.76

14 \times j + 26 \times w = 15.76

14j + 26w = 15.76 ----------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 7</u></em>

126j + 224w = 139.44 -------- eqn 3

<em><u>Multiply eqn 2 by 9</u></em>

126j + 234w = 141.84 ---------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

126j + 234w = 141.84

126j + 224w = 139.44

( - ) --------------------

10w = 2.4

Divide both sides by 10

w = 0.24

<em><u>Substitute w = 0.24 in eqn 1</u></em>

18j + 32(0.24) = 19.92

18j + 7.68 = 19.92

18j = 12.24

Divide both sides by 18

j = 0.68

Thus cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24

You might be interested in
The sales tax on a one-half-carat diamond ring is $76. Find the purchase price of the ring (before tax) of the sales tax rate is
NISA [10]
So.. hmmm if we take "x" to be the 100% sale price before tax, $76 is really 9.5% of that

thus \bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\&#10;76&9.5\\&#10;x&100&#10;\end{array}\implies \cfrac{76}{x}=\cfrac{9.5}{100}

solve for "x"
8 0
3 years ago
Who can pls follow me on rblx im trying to get 100 followers pls follow me tysm if you will :D
gladu [14]
I can my user is hxe_toxic
4 0
3 years ago
Solve the following equation : 7x/15-1=22
miskamm [114]
\frac{7x}{15-1} =22
-----------------
To solve this all it takes is two simple steps
Simplify \frac{7x}{15-1} =22
1/2x =22
------------------------
Multiply both sides by 2
2 · \frac{1}{2} = 2 · 22
x = 44
6 0
3 years ago
Read 2 more answers
Could someone help me do this using substitution I need to know how to do this for math
wariber [46]
Set them equal to each other
8 0
3 years ago
Read 2 more answers
All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____. Plz help (-2, 3) (0, -1) (2, -5) (-1, -3
Kruka [31]
Start by plugging in all your answer choices and see which ones make the solution true
6 0
3 years ago
Other questions:
  • FAST PLEASE
    10·1 answer
  • Ellen, a political intern, analyzes poll data for Cal Stegall, a candidate for state legislature. She notices Stegall's populari
    14·2 answers
  • How do you do inverse operation to solve the equation 7p=28
    9·2 answers
  • You paint 1313 of a wall in 1414 hour. At that rate, how long will it take you to paint one wall?
    9·1 answer
  • Which undefined terms are needed to define a line segment?
    9·2 answers
  • Geometry proof can anyone help
    15·1 answer
  • 1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0
    10·2 answers
  • Can someone help me please !!!!! Today is the last day and I don’t know anything help me please
    14·1 answer
  • Find the distance between the two points in simplest radical form.<br> (3, -8) and (-2,-1)
    14·1 answer
  • (3^5)^2/3^-2 simplify
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!