Question

johann and marta shopped at a vintage toy store. johann bought 3 blue marbles and 5 green marbles and paid $11. marta bought 4 blue marbles and 2 green marbles and paid $10. which system of equations can be used to find the prices of the blue and green marbles?
○ $3x + 5y = 10$
$4x + 2y = 11$
○ $3x + 5y = 11$
$4x + 2y = 10$
○ $5x + 3y = 10$
$4x + 2y = 11$
○ $5x + 3y = 11$
$4x + 2y = 10$

Explanation:

Step1: Define variables

Let $x$ = price of 1 blue marble, $y$ = price of 1 green marble.

Step2: Johann's purchase equation

3 blue + 5 green = $11: $3x + 5y = 11$

Step3: Marta's purchase equation

4 blue + 2 green = $10: $4x + 2y = 10$

Answer:

B. $3x+5y=11$
$4x+2y=10$