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
Ira Lisetskai [31]
3 years ago
6

A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost

is $ 15 . For 12 pounds of chocolate chips and 2 pounds of walnuts, the total cost is $ 33 . Find the cost for each pound of chocolate chips and each pound of walnuts.
Mathematics
1 answer:
umka21 [38]3 years ago
6 0

c = cost per pound of chocolate chips

w = cost per pound of walnuts.

\bf \stackrel{\textit{3 lbs of "c"}}{3c}+\stackrel{\textit{5 lbs of "w"}}{5w}~~=~~\stackrel{\textit{costs}}{15} \\\\\\ \stackrel{\textit{12 lbs of "c"}}{12c}+\stackrel{\textit{2 lbs of "w"}}{2w}~~=~~\stackrel{\textit{costs}}{33} \end{cases}\qquad \impliedby \textit{let's use elimination} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llccccccl} 3c+5w=15&\times (-4)\implies &-12c&+&-20w&=&-60\\ 12c+2w=33&&12c&+&2w&=&33\\ \cline{3-7}\\ &&0&&-18w&=&-27 \end{array}

\bf -18w=-27\implies w=\cfrac{-27}{-18}\implies \blacktriangleright w=\cfrac{3}{2} \blacktriangleleft \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{3c+5\left(\cfrac{3}{2} \right)=15}\implies 3c+\cfrac{15}{2}=15 \implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 3c+\cfrac{15}{2} \right)=2(15)} \\\\\\ 6c+15=30\implies 6c=15\implies c=\cfrac{15}{6}\implies \blacktriangleright c=\cfrac{5}{2} \blacktriangleleft

You might be interested in
You measure the sides of a pool and find that it is 20 yards wide and 60 yards long.
iren2701 [21]

Answer:

63 yards

Step-by-step explanation:

Based on the description, you can make a rectangle with the sides 20 yards and 60 yards.  You then draw a diagonal line (doesn't matter which one), and you use the pythagorean theorem (a^2+b^2=c^2).  Thus, you get 20^2+60^2=60^2, so 400+3600=c^2, then \sqrt{4000}

Which gives the value of 63.24 rounding to 63 yards

4 0
3 years ago
Read 2 more answers
The cost of a circus ticket is $8. There are y people in a group who want to go to the circus. Which of the following expression
padilas [110]
8y
because its 8 (the price of the ticket) times the amount of people that want to go
4 0
3 years ago
A stack of 20 coins contains only nickels and
Galina-37 [17]

Answer:

16 quarters and 4 nickels

4×25=1.00 × 4 = 4.00 4×4=16-quarters

20-16=4-nickels

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
What number when multiplied by itself is 11 greater than the preceding number when it is multiplied by itself
ycow [4]

Answer:

5*5=25

6*6=36

36-25=11

so the answer is 6.

6 0
3 years ago
Read 2 more answers
Please help:(
Vladimir [108]

Answer  c would be the answer hope it helps

Step-by-step ex planation:

7 0
3 years ago
Other questions:
  • Vanessa exercised by walking around a pond. One day she walked 3 3/8 mi. the distance around the pond is 3/8 mi. what equation c
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%28a-3%29%20%2A%20%28%5Cfrac%7Ba%7D%7B3%7D%20%2B1%29%7D%7B%5Cfrac%7B1%7D%7B3%7D%7
    6·1 answer
  • Idk what to do I need help​
    12·1 answer
  • 13. Let f(x) = 5x + 10 and g(x) = 2*<br> a) Find f(2)<br> b) Find g(2)<br> c) Find f(2) + g(2)
    12·1 answer
  • GIVING BRAINLIEST TO CORRECT ANSWER
    15·2 answers
  • Please help me out I don’t understand I’ll give more if right
    7·1 answer
  • -1/3 = r - 3/4 What is r?
    15·1 answer
  • There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2&lt;3 What are the coordinates of the fourth
    11·1 answer
  • Worth lots of points thank you :)<br> please help and write explanation :)
    15·2 answers
  • What is the slope of (-3,-2) and (1,-2)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!