a. The system of equations are:
3x + 5y = 22
12x + 2y = 25
2. Cost for each pound of almond (x) = $1.5
Cost for each pound of jelly beans (y) = $3.5
<h3>How to Solve a System of Equations?</h3>
From the information given above, we can create the system of equations that will be used in solving the problem as shown below.
a. The system of equations that represents the situation is:
3x + 5y = 22 ----> equation 1
12x + 2y = 25 ----> equation 2
b. Multiply equation 1 by 2, and equation 2 by 5:
6x + 10y = 44 ----> equation 3
60x + 10y = 125 ----> equation 4
Subtract equation 4 from equation 3
-54x = -81
-54x/-54 = -81/-54
x = 1.5
Cost for each pound of almond (x) = $1.5
Substitute x = 1.5 into equation 1
3x + 5y = 22 ----> equation 1
3(1.5) + 5y = 22
4.5 + 5y = 22
5y = 22 - 4.5
5y = 17.5
5y/5 = 17.5/5
y = 3.5
Cost for each pound of jelly beans (y) = $3.5
Learn more about the system of equations on:
brainly.com/question/13729904
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