Q12. - Algebra 2

Question

SHOPPING For Exercise 10-12, use the following information.

Gwen wants to buy some cassettes that cost $\backslash (10$ each and some CDs that $\backslash )13$cost each. She has $\$40$ to spend.

12. Can she buy$3$cassettes and $2$ CDs? Explain.

Step-by-Step Solution

Answer

No, Gwen cannot buy $3$ cassettes and $2$ CDs. 

Step-1 –Concept of inequality

An inequality is a relation, which makes a non-equal comparison between two numbers or other mathematical expression. It is used most often to compare two numbers on the number line by the size

Step-2 –Check the inequality

Let use substitute$c=3,d=2$ in$10c+13d\le 40$

$\begin{array}{l}10\left(3\right)+13\left(2\right)\le 40\\ 30+26\le 40\\ 56\le 40\end{array}$

Which is not satisfied.

.

Step-3 –Write the conclusion

Hence, Gwen cannot buy $3$ cassettes and $2$ CDs. Since, if she has$\$40$ and the cost of it is$56$.