Adeeb bought 5 oranges and 15 apples from the farmer's market. The equation 5r+15a=10.5 represents the amount of money he spent. Faye bought 12 oranges and 11 apples, represented by the equation 12r+11a=11.45. What was the cost of each apple

Cost of an orange = r

cost of an apple = a

Adeeb bought;

amount of oranges - 5

amount of apples = 15

the equation for the amount he spent

5r + 15a = 10.5

Faye bought

oranges - 12

apples - 11

the equation for the amount he spent

12r + 11a = 11.45

set of simultaneous equation

5r + 15a = 10.5 - - - > 1)

12r + 11a = 11.45 - - - > 2)

divide by the first equation by 5

r + 3a = 2.1--> 3)

Multiply third by 12

12r + 36a = 25.2 - - - > 4)

subtract 2nd equation from the 4th

25a = 13.75

a = 0.55

substituting a = 0.55 in 3rd equation

r + 3*0.55 = 2.1

r = 2.1 - 1.65

r = 0.45

price of an orange = 0.45

price of an apple = 0.55