Paint brush and markers tired bored headache bad at math need help please help

Question

Brush 1$ marker3$ paid 28$ for 12 how many of each

Answer 1

B = Brush

M = Marker

 

Set up a system of equations

B + M = 12     (Represents the amount of objects total)

1B + 3M = 28       (Represents the price of objects total)

 

Now, solve the system of equations

B = 12 - M       (Shifted first equation around)

B + 3M = 28

 

B = 12 - M

(12 - M) + 3M = 28    (Substitution) 

 

12 + 2M = 28       (Collected like terms, got rid of those parentheses due to order of operations)

 

2M = 16

M = 8 markers

 

Plug back in, find that you had 4 brushes

 

Check:

8 markers + 4 brushes = 12 objects total 

8 markers ($3 each) + 4 brushes ($1 each) = $24 + $4 = $28 spent

 

Good luck with the headache. You got this, I believe in you!