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
Sedbober [7]
3 years ago
11

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and

$1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many spoons did they make last April?
Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

3 spoons were sold last April

Step-by-step explanation:

Let x represent the total number of forks that they made last month.

Let y represent the total number of spoons that they made last month.

It costs the store $1.70 to buy the supplies to make a fork. This means that the cost of making x spoons will be 1.70×x = 1.7x

It costs the store $1.30 to buy the supplies to make a spoon. This means that the cost of making y spoons will be 1.30×y = 1.3y.

Total cost of making x forks and y spoons is 1.7x + 1.3y

Last April Molly's Custom Kitchen Supplies spent $37.90. This means that

1.7x + 1.3y = 37.90 - - - - - - - - - - 1

The store sells forks for $5.60. This means that the total amount for x forks will be 5.60×x = 5.6x

The store sells spoons for $5.40. This means that the total amount for y spoons will be 5.40×y= 5.4y.

Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

5.6x + 5.4y = 147.20 - - - - - - - -2

Multiplying equation 1 by 5.6 and equation 2 by 1.7, it becomes

9.52x + 7.28y = 212.24

9.52x + 9.18y = 250.24

Subtracting

- 1.9x = - 38

x = - 38/- 1.9

x = 20

Substituting x = 20 into equation 1, it becomes

1.7×20 + 1.3y = 37.90

34 + 1.3y = 37.90

1.3y = 37.90- 34 = 3.9

y = 3.9/1.3

y = 3

You might be interested in
What does the following<br> expression mean?<br> 7!<br><br> This is permutations.
nevsk [136]
It’s 7x6x5x4x3x2x1
permutation is multiplying
5 0
2 years ago
25 Points! Please Help Me With This. Click On The Photo And Can You Please Help Me Answer #4 I Do Not Get What It Means. If You
barxatty [35]

Answer:

So both equations are true

Step-by-step explanation:

#4 was asking you to substitute x = 4 into both equations to see if it's the solution of the equations.

Substitute x = 4

Ritz equation

y = 30x  + 20

y = 30(4) + 20

y = 120 + 20

y = 140

Smits equation:

y = 15x + 80

y = 15(4) + 80

y = 60 + 80

y = 140

Both companies charged same price  $140 for 4 days

So both equations are true

5 0
3 years ago
Read 2 more answers
Is there an easy way to do polynomial long division? If not, are there any tricks?
oksian1 [2.3K]

Answer:

Not that I know of :/

Step-by-step explanation:

You may be able to find some on another online resource, but otherwise I think long divison is just long divison, sighhh

8 0
2 years ago
The point (12, 9) is included in a direct variation. What is the constant of variation?
puteri [66]
For direct variation:
y = kx
9 = 12k
k = 9/12 = 3/4
6 0
3 years ago
Which statement is true regarding the functions on te<br> graph?
icang [17]
F(-3)=G(-4) the lines meet at that point.
8 0
3 years ago
Other questions:
  • 5+7-2+5=? Please help me out
    8·2 answers
  • Plz answer both for 10 points.!!! Thx for the help.
    10·1 answer
  • 22 1/2 percent to a fraction
    6·1 answer
  • What is the GCF of 33 and 55?
    10·1 answer
  • Which shows the image of rectangle ABCD after rotation (x,y) (-y,x)​
    7·2 answers
  • Which point represents the vertex of the marked angle.
    5·2 answers
  • 21 billion as how much more than 9.8 billion write it in scientific notation
    7·2 answers
  • Help me please!!!!!
    15·1 answer
  • What does is the value of x in this problem
    14·1 answer
  • Find the ratio of 15 cm and 9 mm​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!