Answer:
The cost for one apple is $0.85
Step-by-step explanation:
Let x represent the cost for one apple, and y represent the cost for one banana.
Then, for Patricia, we have the equation:
5x + 7y = 12.65.......................................................................(1)
And for Jose, we have:
10x + 8y = 18.1 .........................................................................(2)
Solving equations (1) and (2) simultaneously, we have the values for x and y, which x is the price we are required to determine.
Multiply equation (1) by 2 and subtract equation (2) from the result from to eliminate x
Equation (1) * 2:
10x + 14y = 25.3
Subtract equation (2) from the last equation
6y = 7.2
Divide both sides by 6
y = 7.2/6
= 1.2
Using y = 1.2 in equation (1)
5x + 7(1.2) = 12.65
5x + 8.4 = 12.65
5x = 12.65 - 8.4
5x = 4.25
x = 4.25/5
= 0.85
Therefore, x = 0.85, and y = 1.2
So, the cost for one apple is $0.85