3. A shop sales almond and jellybeans. A customer buys 3 mathrm{lb} of almond and 8 mathrm{lb} of jellybeans with a cost of 23.00. Another day, he buys 5 mathrm{lb}. of almond and 2 mathrm{lb}. of jellybeans with a cost of 10.00. Assuming the costs remain the same, determine the cost of each mathrm{lb}. of almond and each mathrm{lb}. of jellybeans.

Question

3. A shop sales almond and jellybeans. A customer buys 3 mathrm{lb} of almond and 8 mathrm{lb} of jellybeans with a cost of  23.00. Another day, he buys 5 mathrm{lb}. of almond and 2 mathrm{lb}. of jellybeans with a cost of  10.00. Assuming the costs remain the same, determine the cost of each mathrm{lb}. of almond and each mathrm{lb}. of jellybeans.

Accepted Answer

Step:1 ：Let the cost of 1 lb of almond be (a) and the cost of 1 lb of jellybeans be (j)Step:2 ：Set up the equations based on the given information: (3a + 8j = 23) and (5a + 2j = 10)Step:3 ：Solve the system of equations to find the values of (a) and (j)Step:4 ：The cost of each ( mathrm{lb} ) of almond is (boxed{1.00}) and the cost of each ( mathrm{lb} ) of jellybeans is (boxed{2.50})

Answer

Step: 1 ：Let the cost of 1 lb of almond be (a) and the cost of 1 lb of jellybeans be (j)Step: 2 ：Set up the equations based on the given information: (3a + 8j = 23) and (5a + 2j = 10)Step: 3 ：Solve the system of equations to find the values of (a) and (j)Step: 4 ：The cost of each ( mathrm{lb} ) of almond is (boxed{1.00}) and the cost of each ( mathrm{lb} ) of jellybeans is (boxed{2.50})

Answer

Popular Problems