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
attashe74 [19]
3 years ago
14

I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack

ages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package
Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

You might be interested in
−7 − 3a = 17, then \frac{3}{4}a = ____?
Ilia_Sergeevich [38]

Answer:

-9/2

Step-by-step explanation:

-7-3a=17

-1-17=3a

-18=3a

a=-18/3

a=-6

The value of fac{3}{4} a = (3/4)(-6)

                                      = -18/4

                                      = -9/2

3 0
2 years ago
Help me please i need to do 3 months of hw in 2 hours help me please
Scrat [10]
3 months of homework, w t h have u been doinggg
6 0
3 years ago
Read 2 more answers
Please help with these I am stuck
g100num [7]

Answer:

31.) x = 3

32.) y = 49

8 0
2 years ago
Plz help!:&gt; also your so awesome, and I hope you have an amazing day!<br><br>​
statuscvo [17]
It’s graph 2 because it is. There is a pause for the taking the bath and then the emptiest mhm so it can’t be graph 3
6 0
2 years ago
Slide the green dot Use the number line to plot the numbers. Then arrange
lbvjy [14]

I don't see any green dot, sorry.

6 0
2 years ago
Other questions:
  • CAN SOMEONE PLEASEEEE ANSERR THISSSSSSSS THANK YOU SO VERY MUCH
    15·2 answers
  • Your friend just purchased a new sports car for $32,000. He received $6,000 for his trade in and he used that money as a down pa
    15·2 answers
  • Which of the following describes the angle of rotation of a counterclockwise rotation?
    10·2 answers
  • Can somebody help me out with this please?
    14·1 answer
  • Why mathematicians use radicals instead of decimals?
    8·1 answer
  • Write an equation in point slope form that passes through (-14, - 6) and the<br> slope is 2/3
    6·1 answer
  • I need the correct answer please and thank you.
    13·1 answer
  • As a salesperson, you are paid $150 per week plus $5 per sale that you make. This week
    14·1 answer
  • In the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
    14·2 answers
  • A car travels at an average speed of 50 km/h for 1.5 hours. How far did the car travel in km?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!