Question

A box of printer paper costs $4 more than a box of notebook paper. A school bought 100 boxes of printer paper and 70 boxes of notebook paper for Mr. Thomas's class, spending a total of $2,000. How much does each type of paper cost?

a. A box of printer paper costs $8, and a box of notebook paper costs $4.
b. A box of printer paper costs $12, and a box of notebook paper costs $8.
c. A box of printer paper costs $10, and a box of notebook paper costs $6.
d. A box of printer paper costs $6, and a box of notebook paper costs $2.

Answer 1

A box of printer paper costs $13.41 and a box of notebook paper costs $9.41.

Step-by-step explanation:

Let's define the cost of a box of printer paper as 'x' dollars.

According to the given information, a box of notebook paper costs $4 less than a box of printer paper. This means that the cost of a box of notebook paper can be expressed as 'x - 4' dollars.

The school bought 100 boxes of printer paper and 70 boxes of notebook paper, spending a total of $2,000. We can set up the following equation to represent this situation:

100x + 70(x - 4) = 2000

Expanding and rearranging the equation, we get:

100x + 70x - 280 = 2000

170x = 2280

x = $13.41

Therefore, a box of printer paper costs $13.41 and a box of notebook paper costs $9.41.