Chapter 8, Problem 50CR

To determine

Write snd solve the inequality to show the maximum number of cupcakes Tim can buy

Answer to Problem 50CR

Tim can buy a maximum number of cupcakes is $12$

Explanation of Solution

Given:

Time can spend at most $36 for cupcakes. If each cupcake costs $3

Concept Used:

• If there is the strict inequality symbol $<\text{ or}>$ , then use a parenthesis $\left(\right)$ on the interval
• If there is the inequality symbol $\le \text{ or}\ge$ , then use a bracket $\left[\right]$ on the interval

Calculation:

In order to find that the enquality. Let x be the number of cupcake can buy . the product of the cost of per cupcakes must be less than or equal to 36 as below:

  $\begin{array}{l}3x\le 36\\ \frac{3x}{3}\le \frac{36}{3}\\ x\le 12\end{array}$

Thus, Tim can buy a maximum number of cupcakes is $12$