Question

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)
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**.