The cost of a blouse and a skirt was $60. Linda bought 4 such blouses, 2 such skirts and a tie for $195. If the total cost of the tie and 1 blouse was $61, find the cost of a skirt?

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chhimsinchhay315 chhimsinchhay315 · Answer 1 · 2024-05-16T06:10:10-04:00

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Let's denote the cost of a blouse as ( b ), the cost of a skirt as ( s ) and the cost of a tie as( t )
From the information provided, we have the following equations:
1. The cost of a blouse and a skirt was $60:
b + s = 60
2. Linda bought 4 blouses, 2 skirts, and a tie for $195:
4b + 2s + t = 195
3. The total cost of the tie and 1 blouse was $61:
t + b = 61
We can solve this system of equations to find the values of ( b ), (s ), and ( t )
From equation 3, we can express ( t ) in terms of (b ):
t = 61 - b
Now, substitute this expression for $ t $ into equation 2:
4b + 2s + (61 - b) = 195
3b + 2s = 134
Now, from equation 1:
b + s = 60
s = 60 - b
Substitute this expression for $ s $ into the equation obtained from equation 2:
3b + 2(60 - b) = 134
3b + 120 - 2b = 134
b = 14
Now that we have found the cost of a blouse ( b = 14 ), we can substitute this value back into equation 1 to find the cost of a skirt:
s = 60 - b
s = 60 - 14
s = 46
So, the cost of a skirt is $46.