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?

Answer 1

To determine if Maya is saving money by agreeing to the deal, we need to calculate the total cost of 10.4 tons of rocks at the price of $32.90 per ton.

1. **Calculate the total cost at regular price**:

\[
\text{Total cost} = \text{Price per ton} \times \text{Number of tons}
\]

\[
\text{Total cost} = 32.90 \, \text{USD/ton} \times 10.4 \, \text{tons} = 341.16 \, \text{USD}
\]

2. **Compare this cost to the salesperson's offer**:
- Salesperson's offer: $330

3. **Calculate the savings**:

\[
\text{Savings} = \text{Total cost at regular price} - \text{Salesperson's offer}
\]

\[
\text{Savings} = 341.16 - 330 = 11.16 \, \text{USD}
\]

Since Maya would save $11.16 by accepting the salesperson's offer, **yes, Maya is saving money if she agrees to this deal.**