Question

My friend Yoy bought 10 elentires and 9 boondins for a total cost of $55. My friend Umpt bought 2 elentires and 3 boondins for a total cost of $17. Write a system of equations, in standard form, modeling the relationship between cost of elentires (x) and cost of boondins (y).

A) 10x+9y=55 and 2x+3y=17

B) 10y+9x=55 and 2y+3x=17

C) x+9y=10 and 2x+3y=17

D) 10x+9y=17 and 2x+3y=55

Answer 1

The correct system of equations for the cost of elentires (x) and boondins (y) given the purchases by Yoy and Umpt is 10x + 9y = 55 and 2x + 3y = 17, which corresponds to option A.

Step-by-step explanation:

To find the correct system of equations that models the relationship between the cost of elentires (x) and the cost of boondins (y), we need two equations representing the purchases made by Yoy and Umpt. According to the information given:

• Yoy bought 10 elentires and 9 boondins for a total cost of $55.
• Umpt bought 2 elentires and 3 boondins for a total cost of $17.

The system of equations, in standard form, is therefore:

• 10x + 9y = 55 (Equation 1)
• 2x + 3y = 17 (Equation 2)

This matches option A from the provided choices. Equation 1 represents Yoy's purchase, and Equation 2 represents Umpt's purchase.