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1.       The length of a rectangle is 3 more than twice it’s width. The perimeter is 48 feet

2.       Fifteen more than four times a number is 6 more than five times the number. Use "n" for the number 

3.      Martha and Sally had lunch together on Tuesday. Sally paid $2 more than Martha. The total bill was $5.64

4.      Bob paid less than Tim at a local pizza parlor. Together they spent $7.80

5.      There were six more women on a committee than men. The committee was made up of 30 people 

 May 8, 2019
 #1
avatar+101872 
+2

1.       The length of a rectangle is 3 more than twice it’s width. The perimeter is 48 feet

 

I suppose you want to find the dimensions???......if so

 

2 ( L + W)   =  Perimeter      and  L = 2W + 3

 

So

 

2 [ 2W + 3 + W ]  =  48      divide both sides by 2    and simplify

 

3W + 3  = 24       subtract 3 from both sides

 

3W  =  21      divide both sides by 3

 

W = 7      and  L = 2(7) + 3   =  17

 

P.S.....if you wanted the area......just multiply    L x W

 

 

 

 

cool cool cool

 May 8, 2019
 #2
avatar+101872 
+2

2.       (Fifteen more than four times a number)  is (6 more than five times the number.) Use "n" for the number 

                         (A)                                              =           (B)

 

So....

 

(A)          =       (B)

 

4n + 15   =   5n + 6   subtract  4N, 6   from both sides

 

9 = n

 

 

cool coolcool

 May 9, 2019
 #3
avatar+101872 
+2

3.      Martha and Sally had lunch together on Tuesday. Sally paid $2 more than Martha. The total bill was $5.64

 

P   = what Martha paid

P + 2  =  what Sally paid

 

So

 

P + (P + 2)  = 5.64

 

Can you take it from here   ????

 

 

cool cool cool

 May 9, 2019
 #4
avatar+18495 
+3

5

x = men on committee

x+6 = women on committee

x  +  x+6  = 30

2x = 24

x = men = 12      women = 18

 May 9, 2019
 #5
avatar+101872 
+2

Last two

 

(4)  If Bob paid P, then Tim paid (7.80 - P)

So

P < (7.80 - P)       and that's all we can say

 

 

(5)   Let the number of men = M     then the women = M + 6

 

So

 

M + (M + 6) =30

 

2m + 6  = 30

 

2M  = 24

 

M = 12       and  M + 6  =  18

 

 

 

 

 

 

cool cool cool

 May 9, 2019

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