# ALGEBRA HW PLEASE HelP?!!!!?

the perimeter is 88m.

what are the length and width?

and another q……

you have been given $100 to buy supplies for tour teacher.

each pencil costs $2, and pen costs $3.

your teacher wants you to buy four times as many pencils and pens.

how many pens and pencils can u buy?

Favorite Answer

88 = 2(w+10) + 2(w)

88 = 2w + 20 + 2w

88=4w + 20

68=4w

68/4=w

17=w(idth)

17+10=27

27=l(ength)

Second one has to be done as a less than or equal to problem (you need to put a line under the less than sign)

x=number of pens

4x=number of pencils

x(3)+4x(2)<100 3x+8x<100 11x<100 x<9 meaning number of pens is 9 or less, so the number of pencils will be 9x4 or 36 With 100 dollars, you can buy a maximum of 9 pens and 36 pencils

88= 4w+20

66=4w

therefore w = 17

so you have 2 sides 17m and 2 being 27m

2nd question i used trial and error. if there were 36 pencils you would have spent $72 and with the stipulation of having 4 times as many as pens you would have 9 pens ($27)

you have not gone over the budget either you can give your teacher the $1 change.

hope this helped. =)

Perimeter is all 4 sides. So x + x + (x+10) + (x+10) = 88

That’s 4x + 20 = 88. 88-20 (move it to the other side) gives:

4x = 68. Divide each side by 4 to get x by itself.

x = 17 m Don’t forget the m label. So the width sides are 17 m each and then don’t forget to do the calculation for the length side –> x + 10 So 17 + 10 = 27 m.

So width = 17m

length = 27 m

Try adding them all up again to make sure it works

17 + 17 + 27 + 27 = 88 Check.

w = x

l = x+10m

perimeter = 2(w + l)

88m = 2 (x + x + 10m)

88m = 2 (2x+10m)

88m=4x+20m

88m-20m=4x

68m=4x

68m/4=x

17m=x

so w = 17m

l = 17m + 10m = 27m

2nd question

no. of pencil = x @ $3 each

no. of pen = 4x (4x as many pencil) @ $2 each

3x + 8x = $100

11x=$100

x=100/11

x=9.09 but we are dealing with whole number since there is no .09 no. of pencil

so 4x=9(4)=36

so 9*$3 + 36*$2 = $99

44 = length + width

width = 44 – length

length = width + 10m

= 44 – length +10

2 length = 54

length = 27

width = 44 – 27

= 17

2nd question:

pencil = x

pen = y

pencil = 4 pen

so, x = 4y

100 = 2x + 3 y

= 2(4y) + 3y

= 11y

y = 9

so, x = 36

2L + 2W = 88

2(W+10) +2W = 88

2W + 20 + 2W = 88

4W = 88 – 20

4W = 68

W = 17

L = 27 m; W = 17 m

________________

x = pencils; y = pen

2x + 3y = 100

x = 4y; I assume you mean four times as many pencils as pens

2(4y) + 3y = 100

8y + 3y = 100

11y = 100

y = 9

You can buy 36 pencils and 9 pens for $99 and you’ve got to keep a dollar in your pocket.

4x=68

x=17

So the garden is 17×27

And the other….

4*2*pn+3*pn=100

11pn=100

pn=9

9 pens, 36 pencils

36*2+9*3=99

# Question 1

perimeter equals all sides added together so you get

88=L+L+10+10+W+W

88=2L+20+2W

-20 -20

68=2L+2W

Now L=W since we got rid of the 20

so 68=4sides

/4 /4

—————————–

side= 17

Width= 17m

length = 17+10

27m

# Question 2

your on your own

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