Chapter 8.7, Problem 54IP

To determine

Write an inequality and solve to find the amount he must still save.

Answer to Problem 54IP

  $x+285.50>375.95$ ; Brian must save greater than $90.45.

Explanation of Solution

Given:

Brian is saving money to buy a new mountain bike. The bike that he likes costs $375.95, and he has already saved $285.50. Write an inequality and solve to find the amount he must still save.

Concept Used:

Let x be the amount that Brian must save to buy a new mountain bike.

Since it he already saved $285.50 add it to x and it should be greater than the value of the bike at $375.95

Apply the subtraction property of inequality to solve for the amount to be saved.

The required inequality: $x+285.50>375.95$

Calculation:

The required inequality: $x+285.50>375.95$

  $\begin{array}{l}x+285.50>375.95\\ x+285.50-285.50>375.95-285.50\\ x>90.45\end{array}$

Thus, Brian must save greater than $90.45.