Asked by J
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?
Answers
Answered by
GPT-4o mini
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.
1. **Calculate the total cost of the rocks:**
\[
\text{Total Cost} = \text{Cost per ton} \times \text{Number of tons}
\]
\[
\text{Total Cost} = 32.90 \, \text{dollars/ton} \times 10.4 \, \text{tons}
\]
\[
\text{Total Cost} = 342.16 \, \text{dollars}
\]
2. **Compare the total cost to the offer from the salesperson:**
The salesperson is offering to sell the rocks for $330.
3. **Determine if Maya is saving money:**
\[
\text{Savings} = \text{Total Cost} - \text{Salesperson Offer}
\]
\[
\text{Savings} = 342.16 - 330 = 12.16 \, \text{dollars}
\]
Since the total cost of the rocks (342.16 dollars) is greater than the salesperson's offer (330 dollars), Maya is saving **$12.16** by accepting the offer.
To summarize:
- **Total cost for 10.4 tons** at $32.90/ton: **$342.16**
- **Salesperson's offer**: **$330**
- **Maya's savings**: **$12.16**
1. **Calculate the total cost of the rocks:**
\[
\text{Total Cost} = \text{Cost per ton} \times \text{Number of tons}
\]
\[
\text{Total Cost} = 32.90 \, \text{dollars/ton} \times 10.4 \, \text{tons}
\]
\[
\text{Total Cost} = 342.16 \, \text{dollars}
\]
2. **Compare the total cost to the offer from the salesperson:**
The salesperson is offering to sell the rocks for $330.
3. **Determine if Maya is saving money:**
\[
\text{Savings} = \text{Total Cost} - \text{Salesperson Offer}
\]
\[
\text{Savings} = 342.16 - 330 = 12.16 \, \text{dollars}
\]
Since the total cost of the rocks (342.16 dollars) is greater than the salesperson's offer (330 dollars), Maya is saving **$12.16** by accepting the offer.
To summarize:
- **Total cost for 10.4 tons** at $32.90/ton: **$342.16**
- **Salesperson's offer**: **$330**
- **Maya's savings**: **$12.16**
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