SOLUTION: Linear systems word problem:
"The cost of six pennants and nine balls is $48. The cost of three balls is $1 more than the cost of one pennant. What are the costs of one pennant an
Algebra.Com
Question 701258: Linear systems word problem:
"The cost of six pennants and nine balls is $48. The cost of three balls is $1 more than the cost of one pennant. What are the costs of one pennant and one ball?"
I need help writing two equations and can it be solved using elimination? If not,can you solve it for me using substitution? Thanks!
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let the cost of pennants be and the cost of balls :
if the cost of six pennants and nine balls is $ we can write it as
......eq. 1
if the cost of three balls is $ more than the cost of one pennant, than we write it as
....eq. 2
now we have system to solve:
......eq. 1
....eq. 2
__________________________
start with ....eq. 2 and solve for
.....substitute it in eq. 1
......solve for
....the cost of pennants
now find
......the cost of balls
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The cost of six pennants and nine balls is $48. The cost of three balls is $1 more than the cost of one pennant. What are the costs of one pennant and one ball?"
------------
Value Equations:
6p + 9b = 48
3b = p + 1
-------
Substitution:
p = 3b-1
Substitute for "p" and solve for "b":
6(3b-1) + 9b = 48
18b - 6 + 9b = 48
27b = 54
b = $2.00 (cost of 1 ball)
---
Solve for "p":
p = 3b-1
p = 3*2-1
p = $5.00 (cost of one pennant)
-------
Elimination:
6p + 9b = 48
3b = p + 1
---
Rearrange
3b + 2p = 16
3b - p = 1
---
Subtract and solve for "p"
3p = 15
p = $5.00 (pennant)
Solve for "b":
3b - p = 1
3b - 5 = 1
3b = 6
b = $2.00 (ball)
================
Cheers,
Stan H.
=================
RELATED QUESTIONS
Five soccer balls and three volley balls cost $450, while three soccer balls and two... (answered by MathTherapy)
Please help me solve this word problem.
30 students bought pennants.
The plain... (answered by Fombitz)
A bat and ball together cost $31.00. The bat costs $15 more than the ball. What is the... (answered by Alan3354,ikleyn)
Five balls are drawn from a bag containing six white and four black balls? What is the... (answered by dkppathak)
1) There are two urns, one containing two white balls and four black balls, the other... (answered by KMST)
If five balls are drawn from a bag containing six green balls, eight blue balls, and ten... (answered by Boreal)
There are 40% more black balls than white balls what is the ratio of black to white... (answered by robertb)
A box contains 4 white balls and 3 red balls. Three balls are drawn from the box without (answered by Boreal)
A factory manufactures three types of golf balls: Eagle, Birdie, and Bogey. The daily... (answered by greenestamps)