Three shirts and Five ties cost Tk. 23. Five shirts and one tie cost Tk. 20. What is the price of one shirt?
Let S represent the price of one shirt in Tk, and let T represent the price of one tie in Tk.
From the given information, we can create two equations:
"Three shirts and five ties cost Tk. 23": 3S + 5T = 23
"Five shirts and one tie cost Tk. 20": 5S + T = 20
Now, we can solve this system of equations using the method of substitution or elimination. Let's use the elimination method:
First, we'll multiply the second equation by 5 to make the coefficients of T in both equations equal:
5(5S + T) = 5(20) 25S + 5T = 100
Now, we have the system of equations:
- 3S + 5T = 23
- 25S + 5T = 100
We can subtract equation 1 from equation 2 to eliminate T:
(25S + 5T) - (3S + 5T) = 100 - 23
Simplify:
22S = 77
Now, divide both sides by 22 to find the price of one shirt (S):
S = 77 / 22 S = 3.50
So, the price of one shirt is Tk. 3.50.
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