Answer:
4 each of red and green binders.
Step-by-step explanation:
Given: Price of each red binder is $2.25.
Price of each green binder is $3.24.
Total Jackie paid is $21.96.
Lets assume the number of red binder bought be "x".
∴ Total amount paid for red binder= [tex]number\ of\ red\ binder \times price\ for\ each\ red\ binder[/tex]
⇒ Total amount paid for red binder= [tex]x\times \$ 2.25= \$ 2.25x[/tex]
Now, finding the amount paid for green binder.
As we know the total amount paid by Jackie is $21.96 and she bought same number for each binder.
Jackie paid for x number of green binder= [tex]\$ 3.24\times x= \$ 3.24x[/tex]
Next, we can write an equation on total amount paid for Green binder to find value of x.
∴ [tex]\$ 21.96-\$ 2.25x= \$ 3.24x[/tex]
Solving the equation.
[tex]\$ 21.96-\$ 2.25x= \$ 3.24x[/tex]
Adding both side by \$ 2.25x
⇒ [tex]\$ 21.96= \$ 3.24x+\$ 2.25x[/tex]
⇒ [tex]\$ 5.49x = \$ 21.96[/tex]
cross multiplying both side.
⇒ [tex]x= \frac{21.96}{5.49} = 4[/tex]
∴ x= 4
Hence, Jackie bought 4 each of red and green binders as she bought same number of each binders.
