Answer :
Answer:
- 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.
