Question

Two teachers purchased school supplies at the same store.

• The first teacher purchased 8 spirals and spent $4 on pencils.
. The second teacher purchased 10 spirals and spent $2.80 on pencils.
. Both teachers paid the same amount per spiral.
How much does one spiral cost at this store ir dollars and cents?
Enter the correct answer in the box.
$

Answer 1

The cost of one spiral notebook is $0.60. We found this by setting up equations based on the purchases of two teachers and solving for the price of one spiral.

Step-by-step explanation:

To determine the cost of one spiral notebook, we need to set up two equations based on the information given. Let's denote the price of one spiral as x dollars and the total amount each teacher spent as y dollars. The first teacher bought 8 spirals and spent $4 on pencils, while the second teacher bought 10 spirals and spent $2.80 on pencils.

For the first teacher:
8 spirals × x dollars/spiral + $4 for pencils = y dollars
For the second teacher:
10 spirals × x dollars/spiral + $2.80 for pencils = y dollars

Since both teachers paid the same total amount, we can set the equations equal to each other:

1. 8x + 4 = 10x + 2.80
2. Subtract 8x from both sides: 4 = 2x + 2.80
3. Subtract 2.80 from both sides: 1.20 = 2x
4. Divide both sides by 2: x = 0.60

Therefore, the cost of one spiral is $0.60.