A shirt and a tie cost $43. mr Ali paid $152 for 4 shirts and 2 ties. How much does a shirt cost?
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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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
Let s and t be shirt and tie, respectively. Then:
s+t=43
4s + 2t=152
Solve for s and t
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
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!!!