Question

During its first week of business, a market sold a total of 108 apples and oranges. The second
week, five times the number of apples and three times the number of oranges were sold. A total
of 452 apples and oranges were sold during the second week. Determine how many apples and
how many oranges were sold the first
week.

Answer 1

So you can start by making two equations. We will let A represent the number of apples and R represent the number of oranges.
The first week we had a total of 108 apples and oranges sell so the first equation can look like: A+R=108
The second week we had five times the apples and three times the oranges for a total of 452 so our equation can look like this: 5A+3R= 452
To solve we can rearrange the first equation to A=108-R and put that into the second equation so:
5(108-R)+3R=452
540-5R+3R=452
-2R=-88
R=44
We can then put the number of oranges into the first equation to determine the number of apples:
A+R=108
A+44=108
A=64