Bob wants to purchase paper and notebook for his classroom at dollar discount. He can buy packs of paper P, for $1.25 each and notebooks N, $2.50each. This is modeled by 1.2 5P +2.50 and evaluate P equals 10 and an equals 30 to find how much it will cost Bob to buy 10 packs of paper and 30 notebooks

1 answer

To find the total cost that Bob will incur for purchasing 10 packs of paper and 30 notebooks, we can use the given prices for each item.

The cost of the paper and notebooks can be modeled by the following equation:

\[ \text{Total Cost} = 1.25P + 2.50N \]

where \(P\) is the number of packs of paper and \(N\) is the number of notebooks.

Now, substitute \(P = 10\) and \(N = 30\) into the equation:

\[ \text{Total Cost} = 1.25(10) + 2.50(30) \]

Calculating this step-by-step:

  1. Calculate \(1.25 \times 10\): \[ 1.25 \times 10 = 12.50 \]

  2. Calculate \(2.50 \times 30\): \[ 2.50 \times 30 = 75.00 \]

  3. Add the two results together: \[ \text{Total Cost} = 12.50 + 75.00 = 87.50 \]

Therefore, the total cost for Bob to buy 10 packs of paper and 30 notebooks is $87.50.