Chapter 9.4, Problem 9P

To determine

To find: The amount of money each have.

Answer to Problem 9P

The amount of cent that Maria has is $120\text{cents}$ and Tom has $180\text{cents}$ .

Explanation of Solution

Given:

The amount Tom gives to Maria is $30\text{cents}$ and they have equal amount of money.

The amount that Maria gives to Tom is 50 cents and the Tom have twice as much money as Maria.

Calculation:

Consider the number of cents with Maria is $m$ and the number of cents that Tom A $t$ .

Consider the amount that Tom gives to Maria is $30\text{cents}$ and they have equal amount of money. Then the equation is given by,

  $\begin{array}{l}t-30=m+30\\ t=m+60\end{array}$

Consider the amount that Maria gives to Tom is 50 cents and the Tom have twice as much money as Maria. The equation is,

  $t+20=2\left(m-20\right)$

Then,

  $\begin{array}{l}m+60+20=2\left(m-20\right)\\ m+80=2m-40\\ 120=m\end{array}$

The amount of cent with Maria is 120.

Then, the amount of cent with Tom is,

  $\begin{array}{c}t=120+60\\ =180\end{array}$