Question

Jackie bougth red and green binders and paid $2.25 for each red binder and $3.24 for each green binder and spent a total of $21.96. If she bougth the same number of each, then how many of each did she buy?

Answer 1

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= $number\ of\ red\ binder \times price\ for\ each\ red\ binder$

⇒ Total amount paid for red binder= $x\times \ 2.25= \ 2.25x$

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= $\ 3.24\times x= \ 3.24x$

Next, we can write an equation on total amount paid for Green binder to find value of x.

∴ $\ 21.96-\ 2.25x= \ 3.24x$

Solving the equation.

$\ 21.96-\ 2.25x= \ 3.24x$

Adding both side by \$ 2.25x

⇒ $\ 21.96= \ 3.24x+\ 2.25x$

⇒ $\ 5.49x = \ 21.96$

cross multiplying both side.

⇒ $x= \frac{21.96}{5.49} = 4$

∴ x= 4

Hence, Jackie bought 4 each of red and green binders as she bought same number of each binders.