Chloe purchased some dried mango and dried kiwi to make some trail mix. the dried mango cost $2.11 per pound and the dried kiwi cost $5.07 per pound. if she spent $40.34 for 10 pounds of dried fruit, how many pounds of each fruit did she have?

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased =

Let number of pounds of dried kiwi purchased be =

Total weight of dried fruits purchased =

So, we have a sum equation as:

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of pounds of dried mango in dollars can be given as =

Cost of a dried kiwi = $5.07

Cost of pounds of dried kiwi in dollars can be given as =

Total cost of dried fruits in dollars =

So, we have a cost equation as:

The system of equations is :

A)

B)

Solving by substitution.

Rearranging equation A, to solve for in terms of

Subtracting both sides by

Substituting value of we got from A into equation B.

Using distribution.

Simplifying.

Subtracting both sides by 50.7.

Dividing both sides by -2.96.

∴

We can plugin in the rearranged equation A to get value of

∴

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

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step-by-step explanation: