CPM Homework Help : MC2 Problem 4-12

Okie is a western lowland gorilla that lives at the Franklin Park Zoo near Boston, MA. He loves to finger paint and many of his paintings have been sold because their colors are so interesting. One painting was sold for five times the amount of a second, and a third was sold for $$1500$ . If the total sale was for $$13{,}500$ , how much did the most expensive painting sell for?

Set up a 5-D Process table and solve the problem. Then represent the relationships using a variable.

3 column labels: Define, do, and decide. Under define, there are 3 columns, labeled as follows: Painting #1, 5, x; Painting #2, x; Painting #3, $1500. Under do, the column is labeled, Solve for unknown painting prices, by totaling the parts: 5 x, +, x, + 1500 = Total Price. Under Decide, the column is labeled $13,500.

Another row is added to the table, from left to right, as follows: 5 times $1000 = $5000, $1000, $1500, $5000, + $1000, + $1500 = $7500. Too low.

Hint:

Three paintings were sold for $$13{,}500$ .
Of the three paintings, the third sold for $$1500$ and the other two are unknown but are related because one sold for five times the second.
Use this information to construct the 5-D process.

More Help:

Use these guidelines to run your own trials in order to find the values of $x$ that will total $$13{,}500$ .
Then, see if Painting # $1$ or Painting # $2$ is the most expensive painting.
A trial run example is done for you.