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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
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

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May 17, 2021
#2
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
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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
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One Shirt = \$33

May 17, 2021
#5
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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
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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
0

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

s = 43 - 10

May 17, 2021