Jalen has total 63 comic books.
Step-by-step explanation:
Given,
Total value of comic books = $3135
Let,
Number of $45 comic books = x
Number of $65 comic books = y
According to given statement;
45x+65y=3135 Eqn 1
x=y+33 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\[/tex]
Dividing both sides by 110
[tex]\frac{110y}{110}=\frac{1650}{110}\\y=15[/tex]
Putting y=15 in Eqn 2
[tex]x=15+33\\x=48[/tex]
Total comic books = x+y
Total comic books = 48+15 = 63
Jalen has total 63 comic books.
Keywords: addition, elimination method
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