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
valentina_108 [34]
3 years ago
15

A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $

400.
Write a system of linear equations that represents the situation.
Please also include how many scented candles were sold and how many unscented were sold.
Thanks!!!
Mathematics
1 answer:
Rudiy273 years ago
7 0
<h3><u>The system of linear equations that represents the situation is:</u></h3>

a + b = 28

16a + 10b = 400

<h3><u>20 scented candles and 8 unscented candles were sold</u></h3>

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

Let "a" be the number of scented candles sold

Let "b" be the number of unscented candles sold

From given,

Cost of 1 scented candles = $ 16

Cost of 1 unscented candles = $ 10

<em><u>The shop sells 28 candles today</u></em>

Therefore,

a + b = 28

b = 28 - a ------- eqn 1

<em><u>The shop sells 28 candles today and makes $400</u></em>

Therefore,

number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

a \times 16 + b \times 10 = 400

16a + 10b = 400 ------ eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

16a + 10(28 - a) = 400

16a + 280 - 10a = 400

6a = 400 - 280

6a = 120

a = 20

<em><u>Substitute a = 20 in eqn 1</u></em>

b = 28 - 20

b = 8

Thus 20 scented candles and 8 unscented candles were sold

You might be interested in
Need some help (Geo) (not graded)​
Elis [28]

Answer:

*Scratches head..... This is to hard.

7 0
3 years ago
What are the dimensions of a rectangle with an area of 304 and a perimeter of 70?
Hitman42 [59]
Area = 304 cm^2
perimeter = 70
perimeter = 2(l+w)
70 = 2(l+w)
70/2 = l+w
35 = l+w
Now suppose the length would be = x
width would be= 35-x
NOW Area = l*w
304 = x * (35-x)
304 = 35x -x^2
x^2-35x+304 = 0 
use quadratic formula to solve next ok 
<span> 
</span>
5 0
3 years ago
What is the equation of this line in slope-intercept form? y=−3x−1y=−3x−1 y=−13x−1y=−13x−1 y=3x−1y=3x−1 y = 3x + 1
aalyn [17]
(y+1)=3(x-1) is the answer to your problem
4 0
3 years ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
3 years ago
You are facing South. You make an about face, then turn 90 degrees right. What direction are you facing?
Roman55 [17]

Answer:

west

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The first term of an arithmetic sequence is −12 . The common difference of the sequence is 7. What is the sum of the first 30 te
    6·1 answer
  • Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5
    10·2 answers
  • An (independent or dependent) variable can be assigned any value. The variable that changes depending on the (independent or dep
    11·1 answer
  • Which of the following is an example of a causal regression analysis forecast? To forecast how many hamburgers to sell tomorrow
    11·2 answers
  • How many total cups of orange paint will this mixture yield?
    9·1 answer
  • N Write the expression in complete factored form. х2 + бу – бх – ху Enter the correct answer.<br>​
    13·1 answer
  • GIVING BRAINLIEST:: MATH!
    9·2 answers
  • Calculate the radius of a circle whose area is equal to the sum of the areas
    11·1 answer
  • HELP ASAP PLEASE THIS IS MATH
    14·1 answer
  • If a is an obtuse angle in a triangle and sin a = , calculate the exact value of sin 2a.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!