Respuesta :
Answer:
The answer to your question is He bought 11 pounds of cashew.
Step-by-step explanation:
Data
Total pounds = 16
peanuts = p = $2.75
cashew = c = $3.25
total cost = $49.5
Process
1.- Write two equations to solve this problem
p + c = 16 Equation 1
2.75p + 3.25c = 49.50 Equation 2
Solve the system by substitution
2.- Solve equation 1 for p
p = 16 - c
Substitute p in equation 2
2.75(16 - c) + 3.25c = 49.5
Expand
44 - 2.75c + 3.25c = 49.5
Solve for c
3.25c - 2.75c = 49.5 - 44
0.5c = 5.5
c = 5.5/0.5
c = 11
3.- Find p
p = 16 - 11
p = 5 pounds
4.- Conclusion
Ellijah bought 11 pounds of cashew and 5 pounds of peanuts
Answer: she bought 11 pounds of cashew nuts.
Step-by-step explanation:
Let x represent the number of peanuts that she bought.
Let y represent the number if cashew nuts that she bought.
Elijah bought a total of 16 pounds of peanuts and cashew nuts. This means that
x + y = 16
If peanuts cost 2.75 dollars per pound, and cashew nuts cost 3.25 dollars per pound and she paid 49.50 for all she bought, it means that
2.75x + 3.25y = 49.5 - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
2.75(16 - y) + 3.25y = 49.5
44 - 2.75y + 3.25y = 49.5
- 2.75y + 3.25y = 49.5 - 44
0.5y = 5.5
y = 5.5/0.5
y = 11
x = 16 - y = 16 - 11
x = 5
