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

How much should Maya actually be charged for the rocks?

Answer 2

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

Cost calculation:
\[
\text{Cost} = \text{Price per ton} \times \text{Number of tons} = 32.90 \times 10.4
\]

Calculating:
\[
32.90 \times 10.4 = 342.16
\]

So, the total cost for 10.4 tons of rocks at $32.90 per ton is $342.16.

The salesperson is offering to sell the rocks to Maya for $330.

Now, we need to find out if Maya is saving money:
\[
\text{Savings} = \text{Original Cost} - \text{Salesperson's Price} = 342.16 - 330 = 12.16
\]

Since the result is positive ($12.16), this means Maya is saving money by agreeing to the salesperson’s deal.

**Conclusion: Yes, Maya is saving money if she agrees to this deal.** She will save $12.16.

Answer 3

Maya should actually be charged based on the cost of 10.4 tons of rocks at the price of $32.90 per ton.

As calculated previously:

\[
\text{Number of tons} = 10.4 \text{ tons}
\]
\[
\text{Price per ton} = 32.90 \text{ dollars}
\]

To find the total cost, we multiply these two values:

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

Calculating this gives:

\[
32.90 \times 10.4 = 342.16
\]

Therefore, Maya should actually be charged **$342.16** for the rocks.