Problem

A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 5 pounds of almonds, the total cost is $\$ 13$. For 8 pounds of jelly beans and 3 pounds of almonds, the total cost is $\$ 18$. Find the cost for each pound of jelly beans and each pound of almonds. Cost for each pound of jelly beans: Cost for each pound of almonds:

Solution

Step 1 :Let's denote the cost for each pound of jelly beans as J and the cost for each pound of almonds as A.

Step 2 :From the problem, we can form the following equations: \(2J + 5A = 13\) and \(8J + 3A = 18\).

Step 3 :We can solve this system of equations to find the values of J and A.

Step 4 :The solution to the system of equations is {A: 2, J: 3/2}.

Step 5 :Final Answer: The cost for each pound of jelly beans is \(\boxed{\$1.50}\) and the cost for each pound of almonds is \(\boxed{\$2.00}\).

From Solvely APP
Source: https://solvelyapp.com/problems/28660/

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