Final answer:
Jenny purchased 16 art related magazines and 10 science related magazines.
Step-by-step explanation:
To find the number of art related magazines and science related magazines purchased, we can set up a system of equations. Let's let 'a' represent the number of art related magazines and 's' represent the number of science related magazines.
We know that the total number of magazines purchased is 26, so we can write the equation: a + s = 26.
We also know that the total cost of the magazines is $134, so we can write the equation: 4a + 7s = 134.
To solve this system of equations, we can use the substitution method. Rearrange the first equation to solve for 'a' in terms of 's': a = 26 - s. Substitute this value for 'a' in the second equation, and solve for 's': 4(26 - s) + 7s = 134. Simplify and solve for 's': 104 - 4s + 7s = 134. Combine like terms: 3s = 30. Divide both sides by 3: s = 10.
Now substitute this value for 's' in the first equation, and solve for 'a': a + 10 = 26. Subtract 10 from both sides: a = 16.
Therefore, Jenny purchased 16 art related magazines and 10 science related magazines.