A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $\$ 23$. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $\$ 10$. Find the cost for each pound of almonds and each pound of jelly beans.
Answer
Final Answer: The cost for each pound of almonds is \(\boxed{1}\) dollar and the cost for each pound of jelly beans is \(\boxed{\frac{5}{2}}\) dollars.
Step 1 ：Let's denote the cost of almonds per pound as 'a' and the cost of jelly beans per pound as 'j'.
Step 2 ：The problem gives us two equations based on the information provided: \(3a + 8j = 23\) and \(5a + 2j = 10\).
Step 3 ：We can solve this system of equations to find the values of 'a' and 'j'.
Step 4 ：By solving the equations, we find that 'a' equals 1 and 'j' equals \(\frac{5}{2}\).
Step 5 ：Final Answer: The cost for each pound of almonds is \(\boxed{1}\) dollar and the cost for each pound of jelly beans is \(\boxed{\frac{5}{2}}\) dollars.
