Answer:
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