Problema Solution
A store is having a sale on almonds and jelly beans. For 2 pounds of almonds and 12 pounds of jelly beans, the total cost is $45. For 5 pounds of almonds and 3pounds of jelly beans, the total cost is $18. Find the cost for each pound of almonds and each pound of jelly beans.
Answer provided by our tutors
let
a = the cost of 1 lbs of almonds
b = the cost of 1 lbs of jelly beans
For 2 pounds of almonds and 12 pounds of jelly beans, the total cost is $45:
2a + 12b = 45
For 5 pounds of almonds and 3 pounds of jelly beans, the total cost is $18:
5a + 3b = 18
by solving the system of equations:
2a + 12b = 45
5a + 3b = 18
we find:
a = $1.5
b = $3.5
click here to see the step by step solution of the system of equations:
a pound of almonds costs $1.5.
a pound of jelly beans costs $3.5.