Question

elijah bought a total of 16 pounds of peanuts and cashews and pain $49.50. If peanuts cost $2.75 per pound and cashews nuts cost $3.25 per pound, how many pounds of cashew nuts did he buy?

Answer 1

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