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

4 each of red and green binders.

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 * price\ for\ each\ red\ binder`

⇒ Total amount paid for red binder=
`x* \$ 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* 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= (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.