Sure, let's work through the given problem step by step.
We start with an initial number of peaches and we know how many peaches were eaten and how many were given away. We are also provided with the monetary value received for the given away peaches.
1. Initial Number of Peaches: We begin with 200 peaches.
2. Peaches Eaten: 31 peaches were eaten.
3. Peaches Given Away: 42 peaches were given away to a market.
4. Money Received for Given Peaches: Each of the 42 peaches given away fetched [tex]$5.
First, let's calculate how many peaches are left after taking into account the eaten and the given away peaches.
### Step 1: Calculate Remaining Number of Peaches
Subtract the peaches eaten and given away from the initial number of peaches:
\[ \text{Peaches Left} = \text{Initial Peaches} - (\text{Peaches Eaten} + \text{Peaches Given}) \]
\[ \text{Peaches Left} = 200 - (31 + 42) \]
\[ \text{Peaches Left} = 200 - 73 \]
\[ \text{Peaches Left} = 127 \]
### Step 2: Calculate Total Money Received
For each of the 42 peaches given away, $[/tex]5 was received. Therefore, we multiply the number of peaches given away by the amount received per peach:
[tex]\[ \text{Total Money Received} = 42 \, \text{peaches} \times 5 \, \text{dollars/peach} \][/tex]
[tex]\[ \text{Total Money Received} = 210 \, \text{dollars} \][/tex]
### Final Summary
1. The remaining number of peaches is 127.
2. The total money received is [tex]$210.
Thus, the final answer is that there are 127 peaches left and a total of $[/tex]210 has been received.
