Answer: apples = 7 and bananas = 8
Step-by-step explanation:
Let x represent the number of apples and y represent the number of banana,
and it was said that the total apples and bananas altogether is 15 , that is
x + y = 15 ................. equation 1
Also,
1.25x + 0.40y = 11.95 ............. equation 2
Solving the two equations simultaneously ,
From the first equation, x = 15 - y ........... equation 3
substitute equation 3 into equation 2, we have
1.25(15 - y) + 0.40y = 11.95
18.75 - 1.25y + 0.40y = 11.95
18.75 - 0.85y = 11.95
18.75 - 11.95 = 0.85y
6.8 = 0.85y
therefore y = 6.8/0.85
= 8
substitute y = 8 , into equation 3
x = 15 - 8
x = 7
Therefore , she bought 7 apples and 8 banana