Dried bananas sell at $4.59/kg and dried apricots sell at $6.59/kg. How many of kilograms of each should be used to make a mixture of 50 kg of dried fruit to sell for $5.20/kg. Solve for substitution or elimination

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 substitution:

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