Question

25 Patricia bought 5 apples and 7 bananas for $12.65. Jose bought 10 apples and 8 bananas for $18.10 at the same grocery store. What is the cost of one apple?​

Answer 1

Apple cost $0.85

Banana cost $1.2

Explanation:

Given data

let the number of apples be x

and the number of bananas be y

Patricia bought 5 apples and 7 bananas for $12.65

5x+7y= 12.65----------1

Jose bought 10 apples and 8 bananas for $18.10

10x+8y= 18.10-----------2

solve 1 and 2 above

5x+7y= 12.65 X 2

10x+8y= 18.10 X 1

10x+14y= 25.3

- 10x+8y= 18.10

6y= 7.2

y= 7.2/6

y= 1.2

put y= 1.2 in 1

5x+7(1.2)= 12.65

5x+ 8.4= 12.65

5x= 12.65- 8.4

5x= 4.25

x= 4.25/5

x= 0.85

Hence each apple cost $0.85

Banana cost $1.2