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.

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.

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?

First Part

Second Part $=5 ^* \text{ first}$

Third Part $=$35 + \text{ first}$

Total $=$385$

$\$

First Part

Second Part $=5 ^* \text{ first}$

Third Part $=$35 + \text{ first}$

Total $=$385$

$\$

$\$ $\color{orange}x$

$\$

$\color{orange}{5x}$

$\$

$\color{orange}{35+x}$

$\$

$\quad \quad \quad \quad \quad \quad \color{blue}{85}\\ \ \ \ \ \ \ \ \ \ \ \ \ \color{blue}{250} \quad \quad \quad \quad \quad \color{blue}{150}\\ \color{blue}{10} \quad \quad \quad \color{blue} {125}\quad \quad\color{blue}{65} \quad \quad \color{blue}{200}\\ \ \ \ \color{blue}{45} \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \color{blue}{50} \\ \quad \quad \quad \quad \color{blue}{50} \quad \quad \color{blue}{30} \\ \color{blue}{25} \quad \quad \quad \quad \quad \color{blue}{40} \quad \quad \quad \color{blue}{60}\\ \quad \quad \quad \quad \quad \quad \quad \quad \color{blue}{75}$