+0  
 
0
107
7
avatar+144 

A shirt and a tie cost $43. mr Ali paid $152 for 4 shirts and 2 ties. How much does a shirt cost?

 May 17, 2021
 #1
avatar+199 
0

Shirt + tie = 43 ____ 1st equation 

4 Shirt + 2 tie = 152 _____ 2nd equation

 

 

2 shirt + 2 tie = 43 * 2 ___ 1 * 2

2 shirt + 2 tie = 86 _____ 3rd equation 

 

(4 shirt + 2 tie) -- (2 shirt  + 2 tie) =  152 - 86         ____ 2nd -- 3rd

                                        2 shirt   = 66

                                           shirt = 33

                                                      ---

 May 17, 2021
 #2
avatar+315 
0

1 shirt + 1 tie = $43

2 shirt + 2 tie = $43 * 2

                      = $86

4 shirt + 2 tie = $152

=> 2 shirt = $152 - $86

                = $66

     1 shirt = $66 ÷ 2

                = $33

 May 17, 2021
edited by Tgfromthe4  May 17, 2021
 #3
avatar+148 
0

Let s and t be shirt and tie, respectively. Then:

s+t=43

4s + 2t=152

Solve for s and t

 May 17, 2021
 #4
avatar+4 
0

One Shirt = $33

 May 17, 2021
 #5
avatar+4 
0

1 shirt&1 tie = 43 , 2 shirts&2ties=86, 3 shirts& 3ties=129

 

! shirt - 33 and 1 tie - 10

 

Mr Ali 2shirts&2ties = 86 + 2shirts = 66 Total 152

 

Shirt costs $ 33 each and tie costs $ $10 each

 May 17, 2021
 #6
avatar+315 
0

Let X be shirt cost, Y be tie cost

 

X + Y = 43, 4X + 4Y = 172

 

4X + 2Y = 152

 

4X + 4Y = 172, subtract equations

 

-2Y = — 20,

 

Y = $10, X = $33, check work

 

4 × 33 + 2 × 10 = 152

 

132 + 20 = 152

 

152 = 152, yeah!!!

Tgfromthe4  May 17, 2021
 #7
avatar
0

t = 1/2(172 - 152) = 10

 

s = 43 - 10

 May 17, 2021

47 Online Users

avatar
avatar