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
lozanna [386]
3 years ago
14

Alana is having a party. She bought 3 rolls of streamers and 2 packages of balloons for $10.00. She realized she needed more sup

plies and went back to the store and bought 2 more rolls of streamers and 1 more package of balloons for $6.25. How much did each roll of streamers and each package of balloons cost?
Mathematics
2 answers:
notsponge [240]3 years ago
4 0
Streamers: 24 dollars Package of ballons: 6 dollars
Anvisha [2.4K]3 years ago
3 0

Answer:

Each roll of streamers is $2.50 and each package of balloons is $1.25.

Step-by-step explanation:

Let x represent the number of rolls of streamers and y represent the number of packages of balloons.

3 rolls of streamers, 3x, and 2 packages of balloons, 2y, cost 10.00; this gives us

3x + 2y = 10

2 rolls of streamers, 2x, and 1 package of balloons, 1y, cost 6.25; this gives us

2x + 1y = 6.25

This gives us the system of equations

\left \{ {{3x+2y=10} \atop {2x+1y=6.25}} \right.

To solve this, we will use elimination.  First we will make the coefficient of y the same.  We will do this by multiplying the bottom equation by 2:

\left \{ {{3x+2y=10} \atop {2(2x+1y=6.25)}} \right. \\\\\left \{ {{3x+2y=10} \atop {4x+2y=12.50}} \right.

We will eliminate y by subtracting the bottom equation from the top:

\left \{ {{3x+2y=10} \atop {-(4x+2y=12.5)}} \right. \\\\-1x=-2.5

Divide both sides by -1:

-1x/-1 = -2.5/-1

x = 2.5

Each roll of streamers costs $2.50.

Substituting this back into the second equation, we have

2(2.5) + y = 6.25

5 + y = 6.25

Subtract 5 from each side:

5 + y - 5 = 6.25 - 5

y = 1.25

Each package of balloons costs $1.25.

You might be interested in
Point A is on a number line halfway between -17 and 5. Point B is halfway between point A and 0. What integer does point B reprs
Korolek [52]

Answer:

-3

Step-by-step explanation:

Point A is half way between -17 and 5. This is span has a total distance of 17 + 5 = 22. Half way is 11 units from -17 or 5. So -17 + 11 = -6.

Point B is halfway between A at -6 and 0. This is a distance of 6. So halfway is 3 units away at -3.

7 0
3 years ago
Estimate each percent. <br> 19% of 51<br> 69% of 203
lyudmila [28]
The answer for
1 - 9.69
2 - 140.07
7 0
3 years ago
Read 2 more answers
An umbrella is made by stitching 10 triangular pieces of clothes of 2 different colors, each piece measuring 9 cm, 40 cm and 41
malfutka [58]

Answer:

See below in bold.

Step-by-step explanation:

The triangular piece of cloth is a right triangle because 41^2 = 40^2 + 9^2 (By the Pythagoras theorem).

So the area of one piece = 1/2 * 9 * 40  cm^2.

The total amount of cloth  required for one umbrella = 10 * 1/2 * 9 * 40

= 1800 cm^2.

The total cost =  1800 * 0.25 = Rs 450.

3 0
3 years ago
Write an algebraic expression<br><br><br>The quotient the of 72 divided by o =
Alchen [17]

72 ÷ o should be the algebraic expression.

4 0
3 years ago
Help me pls answer this​
Rudik [331]

Answer:

right

Step-by-step explanation:

32/8=4

(m^5)(m^-3)=m^2

4 0
3 years ago
Other questions:
  • If the track makes 30 miles in 25 minutes, find the time it will need to cover 25 miles
    14·1 answer
  • What is this please answer within 15 min thanks
    6·2 answers
  • 4/3 to the 2nd power
    10·2 answers
  • A hypothesis is only tentative: to make sure it's valid, you have to ___________.
    9·1 answer
  • 87.2 - 25.9 = 87.2 - ___ = 61.2 ___ + 0.1 = ___
    7·1 answer
  • Rhombus ABCD is shown below with diagonals Line BD and AC interesting at Point E such that m
    7·1 answer
  • Simplify (3w^2-7w+6)+(-5w^2+2w+1)
    5·1 answer
  • Find the midpoint of the line segment with the endpoints (10,2) and (-6,-6)
    12·2 answers
  • There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to
    11·1 answer
  • Ian invested $20,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded continuously. Lauren invested $2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!