Answer:
Weight of dried bananas = 34.75 kg
Weight of dried apricot = 15.25 kg
Step-by-step explanation:
Given that:
Cost of dried bananas = $4.59 per kg
Cost of dried apricots = $6.59 per kg
Total weight of mixture = 50 kg
Sales price of dried fruit = $5.20 per kg
To find:
The weight of each type of dry fruit = ?
Solution:
Let weight of dried bananas =
kg
Let weight of dried apricot =
kg

Total cost of dried bananas = Cost of dried bananas per kg multiplied by weight of dried bananas
Total cost of dried bananas = $4.59
Total cost of dried apricots = Cost of dried apricots per kg multiplied by weight of dried apricots
Total cost of dried apricots = $6.59
As per question statement,
Total cost of dry fruits = $5.20
50 = $260

Using <em>substitution:</em>
By equation (1):

Putting in equation (2):


Therefore, the answer is:
Weight of dried bananas = 34.75 kg
Weight of dried apricot = 15.25 kg