Harriet gifts each of her friends a pack of markers that costs $7 and 6 retractable pens. If she has 5 friends and has spent a total of $95 on the gifts, calculate the price of each pen.

Answer 1

Let's calculate the total cost of the gifts Harriet bought for her friends.

1. Cost of markers for each friend:

   • Each pack of markers costs $7.
   • With 5 friends, the total cost for the markers is: \[ 5 \times 7 = 35 \text{ dollars} \]

2. Total cost Harriet spent:

   • Harriet spent a total of $95 on gifts.

3. Cost of retractable pens:

   • Let \( x \) be the cost of each retractable pen.
   • Harriet gives 6 pens to each of her 5 friends, which totals: \[ 5 \times 6 = 30 \text{ pens} \]
   • Therefore, the total cost for the retractable pens is: \[ 30x \]

4. Setting up the equation:

   • The total amount spent on gifts, combining both markers and pens, is: \[ 35 + 30x = 95 \]

5. Solving for \( x \):

   • Subtract 35 from both sides: \[ 30x = 95 - 35 \] \[ 30x = 60 \]
   • Now, divide both sides by 30: \[ x = \frac{60}{30} = 2 \]

So, the price of each retractable pen is $2.