A fruit vendor sells peaches and pears at a local market. Yesterday, the vendor sold a total of 15 fruits and collected $40 in revenue. The price of each peach is $3, and the price of each pear is $2. How many peaches did the vendor sell yesterday? (1 point)

Question

Responses

30
30

5
5

10
10

3

Answer 1

To solve the problem of how many peaches the vendor sold, we can set up a system of equations based on the information provided.

Let:

• \( p \) = number of peaches sold
• \( r \) = number of pears sold

According to the problem, we have the following two equations:

1. The total number of fruits sold is 15: \[ p + r = 15 \]

2. The total revenue collected is $40: \[ 3p + 2r = 40 \]

Now we can solve these equations step by step.

First, we can express \( r \) in terms of \( p \) from the first equation: \[ r = 15 - p \]

Next, we can substitute \( r \) in the second equation: \[ 3p + 2(15 - p) = 40 \]

Distribute the 2: \[ 3p + 30 - 2p = 40 \]

Now, combine like terms: \[ p + 30 = 40 \]

Subtract 30 from both sides: \[ p = 10 \]

So, the vendor sold 10 peaches.

Now let's recap our choices:

• 30
• 5
• 10
• 3

The correct answer is 10.