Question

If 3 apples and 4 bananas cost 1.37 total and 5 apples and 7 bananas cost 2.36 total what is the total cost of 1 Apple and 1 banana?

Answer 1

Let $x and $y be the cost of an apple and a banana respectively
3x+4y=1.37....(1)
5x+7y=2.36....(2)
(1)*5, 15x+20y=6.85....(3)
(2)*3, 15x+21y=7.08....(4)
(4)-(3), y=0.23
sub. y=0.23 into (1), 3x+4*0.23=1.37
                                 x=0.15
total cost=0.15+0.23=0.38