Chapter 12.2, Problem 42SR

To determine

To write and solve the inequality that will give the amount that Tomas can spend on shoes.

Answer to Problem 42SR

Tomas can spend $ $76$ on shoes.

Explanation of Solution

Given: Tomas spends less than $ $100$ for new soccer ball.

The cost of ball is $ $24$

Concept Used:

The concept of inequality is used here.

Inequality is called as the relation which makes the different comparison between two given numbers or a mathematical expression.

Calculation:

Given thatTomas spends less than $ $100$ for new soccer ball.

The cost of ball is $24

First we will find the cost of the shoes,

Consider $x$ ,

  $x+24\langle 100$

Hence we write the equation as,

  $x\langle 100-24$

  $=$ $x\langle 76$ $=$ $x\langle 76$

Consider S is the cost of shoes

B is the cost of ball

  $S+B\langle 100$

But,the value of $B$ is given substitute the given value in the above equation,

  $B$ $=$$24$

Hence,

  $S$ $+$ $24$ $\langle$ $100$ $S$ $=$ $100$ - $24$ $S$$\langle 76$

Conclusion:

Hence, Tomas can spend $ $76$ on shoes.