CPM Homework Help : CC3MN Problem 3-6

Ms. Nguyen needs to separate $\$385$ into three parts to pay some debts. The second part must be five times as large as the first part. The third part must be $\$35$ more than the first part. How much money must be in each part? Write and solve an equation.

Hint:

You can use 5-D Process to help you write the equation. A row of 4 columns, labeled from left to right, as follows: First Part. Second Part, = 5, times first. Third Part, = $35, + first. Total = $385.

More Help:

Use $2$ or $3$ of the blue numbers at the right as guesses for the first part and calculate the second and third part. Randomly placed numbers: 85, 150, 250, 65, 200, 10, 125, 45, 50, 30, 50, 25, 40, 60, 75.

Write an equation:

Use the expressions shown in the table above and your trials in the table to write an equation. Solve your equation. Does your answer make sense? Second row added to the table, labeled from left to right, as follows: x, 5 x, 35 + x, blank.

A row of 4 columns, labeled from left to right, as follows: First Part. Second Part, = 5, times first. Third Part, = $35, + first. Total = $385.

Randomly placed numbers: 85, 150, 250, 65, 200, 10, 125, 45, 50, 30, 50, 25, 40, 60, 75.

Second row added, labeled from left to right, as follows: x, 5x, 35 + x, blank.