Answer:
Given that,
R = 3x + 9y
Also, given that,
y = 6
R = 7
We have to find the value of x
For that, you can to put 6 and 7 to the equation instead of y and R respectively.
R = 3x + 9y
7 = 3x + 9 × 6
7 = 3x + 54
7 - 54 = 3x
- 47 = 3x
Hope this helps you :-)
Let me know if you have any other questions :-)
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