Answer: 1 pigeon is $320
1 love bird is $80
Step-by-step explanation:
Let the cost for 1 love bird be represented by x
Let the cost for 1 pigeon be represented by y.
Since John bought 8 birds and 6 pigeons for $2400. This will be:
8x + 6y = 2400 ...... i
If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. This will be:
6x + 7y = 2600 ...... ii
8x + 6y = 2400 ...... i
6x + 7y = 2600 ...... ii
Multiply equation i by 6
Multiply equation ii by 8
48x + 36y = 14400 ...... iii
48x + 56y = 20800 ...... iv
Subtract iii from iv
20y = 6400
y = 6400/20
y = 320
1 pigeon is $320
From equation i
8x + 6y = 2400
8x + 6(320) = 2400
8x + 1920 = 2400
8x = 2400 - 1920
8x = 480
x = 480/8
x = 60
1 love bird is $80
