Answer:
Therefore the cost of each apple is $ 0.50 and each banana is $1.
Step-by-step explanation:
Given , Amanda buys 6 apples and 5 bananas , it will cost $8.00 and if she buys 5 apples and 7 bananas it will cost $9.50.
Let the cost of one apple be =$ x
and the cost of one banana be =$y
According to the problem,
6x+5y=8.........(1) 5x+7y= 9.50............(2)
Equation (1)×5 - equation (2) × 6
30x +25 y-(30x+42y)= 40-57
⇔30x+25y -30x-42y= -17
⇔-17y =-17
⇔y=1
putting the value of y in equation (1)
6x+5×1=8
⇔6x = 8-5
⇔6x=3
⇔
⇔x = 0.50
Therefore the cost of each apple is $ 0.50 and each banana is $1.