Answer:
Cost of oranges = $0.44
Cost of apples = $0.36
Explanation:
Assume:
Cost of oranges = a
Cost of apples = b
4a + 5b = $3.56 ---------------(1)
3a + 4b = $2.76 ---------------(2)
from equation (1),
4a = $3.56 - 5b
a = ($3.56 - 5b) ÷ 4 ----------(3)
Input equation (3) in equation (2)
3 * [($3.56 - 5b) ÷ 4] + 4b = $2.76
$2.67 - 3.75b + 4b = $2.76
0.25b = $2.76 - $2.67 = $0.09
b = $0.09 ÷ 0.25 = $0.36
Therefore, a = ($3.56 - (5 * $0.36)) ÷ 4 = $0.44