Question

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 binder. Jordan paid $4.65 for2 notebooks and 1 binder. What is the price of one of the notebooks?

Answer 1

1 notebook costs $3.45

let's turn this into 2 equations, n being notebook price, and b being binder price ->

mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65

we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->

b = 4.65 - 2n

plug it into mandy's equation

3n + (4.65 - 2n) = 5.85

simpify until you get n = 1.20
take this and plug it back into jordan's equation ->

2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->

3n + (2.25) = 5.85
simplify until you get that n = 2.25

Answer 2

$1.20

Explanation:

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder.

Mandy paid for 3 notebooks and 1 binder = $5.85

Jordan paid for 2 notebooks and 1 binder = $4.65

Mandy paid more money for extra one notebook = 5.85 - 4.65

= $1.20

Therefore, the price of one notebook is $1.20.