Given:
The cost of chicken nuggets is, c = 3x+0.05.
The cost of fries is, f = x.
The cost of drink is, d = x+0.10.
The total cost spent for each item is, T =$7.50.
Explanation:
Since, the sum of the costs of each item is $7.50 the equation of total cost can be written as,
[tex]\begin{gathered} c+f+d=T \\ (3x+0.05)+(x)+(x+0.10)=7.50_{}_{} \\ 5x+0.15=7.50 \\ 5x=7.50-0.15 \\ x=\frac{7.35}{5} \\ x=1.47 \end{gathered}[/tex]Thus, the value of x is 1.47 which is the cost of fries.
Hence, the cost of fries is $1.47.