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

10
10

30
30

3
3

5

Answer 1

To solve the problem, we can set up a system of equations based on the information provided.

Let \( p \) be the number of peaches sold and \( q \) be the number of pears sold. We have the following two equations:

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

2. The total revenue collected: \[ 3p + 2q = 40 \]

Now, we can solve this system of equations step by step.

From the first equation, solve for \( q \): \[ q = 15 - p \]

Now, substitute \( q \) into the second equation: \[ 3p + 2(15 - p) = 40 \] This simplifies to: \[ 3p + 30 - 2p = 40 \] Combining like terms, we get: \[ p + 30 = 40 \] Subtracting 30 from both sides results in: \[ p = 10 \]

Now that we have \( p = 10 \), we can find \( q \): \[ q = 15 - 10 = 5 \]

So, the vendor sold 10 peaches and 5 pears.

Thus, the answer is 10.