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.]

Question

Mathematics

Silvia

2 January, 04:57

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.]

+1

Answers (1)

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Picasso · Answer 1

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.