Problema Solution

a fruit vendor sells 60 pieces of fruit that are either apples or oranges. the ratio of apples to oranges is 3:2. how many apples did the vendor sell? how many oranges did the vendor sell?

Answer provided by our tutors

Let

x = the number of apples sold

y = the number of oranges sold

x : y = 3 : 2 cross-multiply

2x = 3y

The are 60 apples and oranges altogether:

x + y = 60

We have the following system of equations:

2x = 3y

x + y = 60

........

click here to see the system of equations solved for x and y

........

x = 36 apples

y = 24 oranges

The vendor sold 36 apples and 24 oranges.