contestada

Jalen inherited a collection of vintage comic books. An appraiser separated the comic
books into two categories: comic books valued at $45 and comic books valued at
$65. He valued the entire collection at $3,135. Jalen has 33 more $45 comic books
than he has $65 comic books. How many total comic books does Jalen have?

Respuesta :

absor201

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

Learn more about elimination method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

Otras preguntas