SOLUTION: Can you break down these word problems and show me how to work the solutions please. Thanks. I am also trying to work on them myself even though I am confuse 1) The perimeter of

Question 507595: Can you break down these word problems and show me how to work the solutions please. Thanks. I am also trying to work on them myself even though I am confuse
1) The perimeter of a triangle is 30. Since the longest side is one less than twice the shortest side and the third side is three more than the shortest side, what must be the length of the third side?

2) A bag of quarters and dimes is worthm in total $5.55. There are five less than three times as many dimes as quarters. How many of the coins must be dimes?

3) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number?

4) If the width of a table is 4 feet shorter than the length. The table top is 96 square feet. Find the width.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1) The perimeter of a triangle is 30. Since the longest side is one less than twice the shortest side and the third side is three more than the shortest side, what must be the length of the third side?
:
let x = the length of the shortest side
then
(2x-1) = the length of the longest side
and
(x+3) = the length of the 3rd side
The perimeter
x + (2x-1) + (x+3) = 30
you should be able to solve this now
:
:
2) A bag of quarters and dimes is worth a total $5.55.
.10d + .25q = 5.55
There are five less than three times as many dimes as quarters.
q = 3d - 5
in the 1st equation, replace q with (3d-5)
.10d + .25(3d-5) = 5.55
.10d + .75d - 1.25 = 5.55
.85d = 5.55 + 1.25
.85d = 6.80
d =
d = 8 dimes
Check this solution by finding the no. of quarters, then the total value
:
:
3) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number?
:
5n < 2n-9
5n - 2n < -9
3n < -9
n <
n < -3
:
:
4) If the width of a table is 4 feet shorter than the length.
The table top is 96 square feet. Find the width.
L = W + 4
the area
L * W = 96
replace L with (W+4) and you have
W(W+4) = 96
W^2 + 4W - 96 = 0; a quadratic equation
Factors to
(W+12)(W-8) = 0
The positive solution
W = 8 ft is the width
Check this solution by finding the Length, and the area

RELATED QUESTIONS
Can someone please help me break down these problems please Thank you. 1) "I dont... (answered by ankor@dixie-net.com)

Having problems with this chapter I took a test on this chapter today and didn't do good. (answered by rapaljer)

7x-3=6x im not sure how to work this problem can you show me a break down... (answered by Alan3354)

Happy Holidays, I am trying to understand these problems so please show all work!!... (answered by rothauserc,stanbon)

Can you please explain step by step on how to do each of these two problems below? And... (answered by Alan3354)

Hi, i need help with 2 problems for school study. I cant seem to work them out. If... (answered by ilana)

I am having a porblem trying to figure out how to work this problem please help..... (answered by checkley77)

You are allowed to omit two out of 12 questions on a quiz. How many ways can you select... (answered by scott8148)

CAN SOMEONE PLEASE HELP ME AND SHOW ME HOW TO WORK OUT THESE PROBLEMS.I IF U BREAK IT... (answered by mananth)