Let
x-------> amount that Evans uncle gave for the birthday
Part a) What portion of money will he spend on comic books?
we know that
1) Evan puts half of the money in his savings account
so
[tex] x-\frac{x}{2} =\frac{x}{2} [/tex]
the rest is equal to [tex] \frac{x}{2} [/tex]
2) Evan spend [tex] \frac{1}{5} [/tex] of the money on bubble gum to share with his friends
[tex] \frac{x}{2} -\frac{x}{5} =\frac{(5x-2x)}{10} \\ \\ =\frac{3}{10}x [/tex]
the rest is equal to [tex] \frac{3}{10} x [/tex]
3) Evan buy comics with the rest
the rest is equal to [tex] \frac{3}{10} x [/tex]
therefore
the answer Part a) is
The portion of money that Evan will spend on comic books is [tex] \frac{3}{10} [/tex]
Part b) Evans uses some of his comic book money to buy a magazine for $4. Evans uncle gave him $30, what fraction of the money did he spend on he magazine
The portion of money that Evan will spend on comic books is [tex] \frac{3}{10}x [/tex]
[tex] x=30 [/tex]
So
[tex] \frac{3}{10}*30=9 [/tex]$
by using proportion
[tex] \frac{9}{1} =\frac{4}{x} \\ \\ 9*x=4\\ \\ x=\frac{4}{9} [/tex]
therefore
If the question refers to the fraction with respect to the money used for the comics
then
the answer Part b1) is
[tex] \frac{4}{9} [/tex]
If the question refers to the fraction with respect to the total money
then
by using proportion
[tex] \frac{30}{1} =\frac{4}{x} \\ \\ 30*x=4\\ \\ x=\frac{4}{30} [/tex]
[tex] \frac{4}{30} =\frac{2}{15} [/tex]
the answer Part b2) is
[tex] \frac{2}{15} [/tex]