Three pens and two notebooks cost $8.25.
Two pens and three notebooks cost $8.00.
How much would two pens and two notebooks cost?
Any help, thanks!
Two pens and three notebooks cost $8.00.
How much would two pens and two notebooks cost?
Any help, thanks!
-
p = cost of pen
n = cost of notebook
3p + 2n = 8.25
2p + 3n = 8
multiply top equation by 2, bottom equation by 3:
6p + 4n = 16.5
6p + 9n = 24
now subtract downward:
-5n = -7.5
n = 7.5/5
n = 1.5
and plug in to solve for p:
2p + 3n = 8
2p + (3*1.5) = 8
2p = 8 - 4.5
2p = 3.5
p = 1.75
finally, check your work to be safe :).
n = cost of notebook
3p + 2n = 8.25
2p + 3n = 8
multiply top equation by 2, bottom equation by 3:
6p + 4n = 16.5
6p + 9n = 24
now subtract downward:
-5n = -7.5
n = 7.5/5
n = 1.5
and plug in to solve for p:
2p + 3n = 8
2p + (3*1.5) = 8
2p = 8 - 4.5
2p = 3.5
p = 1.75
finally, check your work to be safe :).
-
3*p + 2*n = 8.25
2*p + 3*n = 8
3*p + 2*n = 8.25, multiply by - 2,
2*p + 3*n = 8, multiply by 3
-------------------------
- 6*p - 4*n = - 16.5
..6*p +9*n = ...24
----------------------------
5*n = 7.5
n = $1.5
3*p + 2*n = 8.25, multiply by - 3
2*p + 3*n = 8, multiply by 2
- 9*p - 6*n = - 24.75
...4*p +6*n = 16
---------------------------
- 5*p = - 8.75
p = $1.75
How much would two pens and two notebooks cost?
2*1.75 + 2*1.5 = $6.50
2*p + 3*n = 8
3*p + 2*n = 8.25, multiply by - 2,
2*p + 3*n = 8, multiply by 3
-------------------------
- 6*p - 4*n = - 16.5
..6*p +9*n = ...24
----------------------------
5*n = 7.5
n = $1.5
3*p + 2*n = 8.25, multiply by - 3
2*p + 3*n = 8, multiply by 2
- 9*p - 6*n = - 24.75
...4*p +6*n = 16
---------------------------
- 5*p = - 8.75
p = $1.75
How much would two pens and two notebooks cost?
2*1.75 + 2*1.5 = $6.50