Chapter 8.7, Problem 24IP

To determine

Write and solve an inequality to find how many vases they can buy.

Answer to Problem 24IP

At most 15 vases the dance committee can buy.

Explanation of Solution

Given:

The dance committee has $75 to spend on centrepiece. They spent $30 on flowers. If each vase costs $3, write and solve an inequality to find how many vases they can buy.

Concept Used:

Translate the sentence into an inequality.

The dance committee has $75 to spend on centrepiece. They spent $30 on flowers. If each vase costs $3, write and solve an inequality to find how many vases they can buy.

They spent $30 on flowers and the cost of each vase = $3.

Let the number of vases = x

Cost of x number of vases is $3x

The required inequality: $30+3x\le 75$

Calculation:

Let the number of vases = x

Cost of x number of vases is $3x

The required inequality: $30+3x\le 75$

  $\begin{array}{l}30+3x\le 75\\ 30-30+3x\le 75-30\\ 3x\le 45\\ \frac{3x}{3}\le \frac{45}{3}\\ x\le 15\end{array}$ At most 15 vases the dance committee can buy.

Thus, at most 15 vases the dance committee can buy.