Question

Maya needs to buy 10.4 tons of rocks for her landscaping company. Each ton of rocks costs $32.90. The salesperson offers to sell the rocks to Maya for $330.Is Maya saving money if she agrees to this deal? How much should Maya actually be charged for the rocks?

Answer 1

To determine if Maya is saving money with the salesperson's offer, we need to calculate the cost of the rocks at the standard price and compare it to the offered price.

1. **Calculate the total cost at the standard price**:
- Cost per ton of rocks: $32.90
- Amount of rocks needed: 10.4 tons

\[
\text{Total cost} = \text{Cost per ton} \times \text{Amount of tons} = 32.90 \times 10.4
\]

\[
\text{Total cost} = 341.16
\]

2. **Compare with the salesperson's offer**:
- Offer price: $330

Now we can see if Maya is saving money:

\[
\text{Savings} = \text{Total standard cost} - \text{Offered price} = 341.16 - 330
\]
\[
\text{Savings} = 11.16
\]

Thus, **Maya is saving money** if she agrees to the deal, and she will save **$11.16** by accepting the salesperson's offer.

In summary, Maya should actually be charged **$341.16** for the rocks at the standard price, but she can buy them for **$330** from the salesperson.