DebraCorradini763
Answered


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. [Only an algebraic solution can receive full credit.]



Answer :

Equations
a1+o1=108
a2+o2=452
a1x5=a2
o1x3=o2

Solving for # of oranges sold first week.
5a1+3o1=452
a1=108-o1
5(108-o1)+3o1=452
540-5o1+3o1=452
540-2o1=452
88=2o1
o1=44

Solving for # of apples sold first week.
a1+44=108
a1=64

64 apples were sold the first week and 44 oranges were sold the first week.
The second week sold 320 apples and 132 oranges. I hope you understand my work.