A store is having a sale on almonds and jelly beans. For 2 pounds of almonds in 3 pounds of jellybeans, the total cost is $14. For 4 pounds of almonds and 8 pounds of jellybeans, the total is $33. Find the total cost for each pound of almonds and each pound of jelly beans

almonds = $6.4 and jellybeans = $0.4

Step-by-step explanation:

Simultaneous equations

For 2 pounds of almonds in 3 pounds of jellybeans, the total cost is $14. For 4 pounds of almonds and 8 pounds of jellybeans, the total is $33.

From the information given we can create 2 equations

we can make use of variable eg - --

a = almonds

j = jellybeans

The equations:

2a + 3j = 14

4a + 8j = 33

we can solve by using the elimination method

we need to cancel out (a) hence we need to make both values in both equations the same. this is done by multiplying the first equation by 2

2 (2a + 3j = 14)

equal to - --

4a + 6j = 28

now we use the elimination method:

4a + 6j = 28

4a + 8j = 33

the 4a is cancelled out

6j - 8j = 28 - 33

-2j = - 5

j = 2/5

j = 0.4

now that we have j, we put this value in the original first equation to get the value of a.

2a + 3j = 14

2a + 3 (0.4) = 14

2a + 1.2 = 14

2a = 14 - 1.2

2a = 12.8

a = 6.4

the total cost for each pound of almond is $6.4 and for jellybeans is $0.4