He sold 76 shirts and 24 pants.
Step-by-step explanation:
Given,
Cost of one t-shirt = $20
Cost of one pants = $45
Total items sold = 100
Total sales = 2600
Let,
x be the number of t-shirts
y be the number of pants
According to given statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20
[tex]20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600[/tex]
Dividing both sides by 25
[tex]\frac{25y}{25}=\frac{600}{25}\\y=24[/tex]
Putting in Eqn 1
[tex]x+24=100\\x=100-24\\x=76[/tex]
He sold 76 shirts and 24 pants.
Keywords: linear equations, subtraction
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