Question

1. maria buys 3 books and 2 pens for $22. chris buys 2 books and 4 pens for $24. let b = cost of a book, p = cost of a pen. a {3b + 2p = 22, 2b + 4p = 24} b {3b + 2p = 24, 2b + 4p = 22} c {2b + 3p = 24, 3b + 4p = 22} d {3b + 4p = 22, 2b + 2p = 24} priority standard: hsa.ced.a.2 – create systems of equations to represent relationships.

Explanation:

Step1: Define variables and Maria's purchase

Let $b$ = cost of a book, $p$ = cost of a pen. Maria buys 3 books and 2 pens for $22:
$3b + 2p = 22$

Step2: Define Chris's purchase

Chris buys 2 books and 4 pens for $24:
$2b + 4p = 24$

Step3: Match to option

Combine the two equations to find the correct system.

Answer:

A. $\{3b + 2p = 22, 2b + 4p = 24\}$