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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
Question
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
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Mathematics
5 years
2021-08-14T10:28:06+00:00
2021-08-14T10:28:06+00:00 1 Answers
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Answers ( )
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 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