Answer:
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = $560
Step-by-step explanation:
Given that :
Total rental cost for all 3 condos = $1240
Let :
I bedroom condo = b
2 bedroom condo = c
3 bedroom condo = 2b
Hence,
b + c + 2b = 1240
3b + c = 1240 - - - (1)
REPAIR COST :
Total repair cost = $276
1 bedroom = 10% of b = 0.1b
2 bedroom = 20% of c = 0.2c
3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b
Hence,
0.1b + 0.2c + 0.6b = 276
0.7b + 0.2c = 276 - - - (2)
From (2)
0.7b + 0.2c = 276
0.7b = 276 - 0.2c
b = (276 - 0.2c) / 0.7
Substitute b = (276 - 0.2c) / 0.7 into (1)
3(276/0.7 - 0.2c/0.7) + c = 1240
1182.8571 - 0.8571428c + c = 1240
1182.8571 + 0.1428571c = 1240
0.1428571c = 1240 - 1182.8571
0.1428571c = 57.1429
c = 57.1429 / 0.1428571
c = 400
3b + c = 1240
3b + 400 = 1240
3b = 1240 - 400
3b = 840
b = 840/3
b = 280
Hence,
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = 2(280) = $560
