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© 2014 Pacific Crest
191
T
roubleshooting
Find the error and correct it!
Identify the error and provide a correction:
Tyler was just named treasurer of the community college baseball team. He was trying to straighten
out some of the accounting and wanted, ultimately, to determine the revenue for the 2013 season, when
8,000 home game tickets were sold. He also knew, based on records from the booster club, that they had
donated $10,000 in 2013. Looking back, he found that in 2012, the revenue for the team was $14,000
(the sum of gifts from its booster club and ticket sales from home games). Tickets for home games are
always sold at $4.00 each.
Step
Tyler’s Work
1. Read and
state the
problem
What is the revenue for 2013?
2.
Inventory the
information
Given
Revenue in 2012 was $14000
In 2013, the booster club gave $10,000
In 2013, 8000 tickets were sold
Tickets cost $4.00
Missing
Number of tickets
sold in 2012
Booster club
donations in 2012
Find
Revenue for the
2013 season
3.
Eliminate
irrelevant
information
Revenue in 2012 was $14000
In 2013, the booster club gave $5000
In 2013, 8000 tickets were sold
Tickets cost $4.00
4.
Identify
variables,
constants
and
assumptions
Rt
= the revenue in dollars for the number of tickets sold
R
= total revenue
t
= number of tickets sold
4 = ticket cost in dollars
$10000 = booster club donation
8000 = tickets sold
5.
Determine
the form for
the solution
How much of the revenue comes from ticket sales?
What is the revenue in dollars if 8000 tickets are sold?
6.
Simplify the
problem
1)
The revenue from tickets sales is the price of each ticket times the number of tickets
sold.
2)
The total revenue is revenue from ticket sales minus the booster donation.
7. Model each
sub-problem
1) The revenue from tickets sales is the price of each ticket times
t
tickets:
Rt
= 4 ×
t
2) The total revenue is the revenue from ticket sales minus booster gifts:
R
=
Rt –
10000
8.
Integrate
the sub-
problems
1)
Rt
= 4 ×
t
= 4 × 8000 =
32000
2)
R
=
Rt –
10000
R
= 32000 – 10000
R
=
22000
9.
Present the
solution
The revenue for the club was $22,000.
4.3 Interpreting a Word Problem