Question

A student is involved in a Read-A-Thon fundraising event. She got people to donate a certain amountfor each book she read.Three people pledged $0.50 per book. Five people pledged $1.00 per book. Eight people pledged$0.75 per book. She wants to raise $75 for charity.Write and solve an equation to find out how many books she will need to read to meet her goal.Don't include dollar signs in your expressions or equation.

Answer 1

SOLUTION:

Step 1:

In this question, we are given that:

She got people to donate a certain amount for each book she read.

Three people pledged $0.50 per book.

Five people pledged $1.00 per book.

Eight people pledged $0.75 per book.

She wants to raise $75 for charity.

We are meant to write and solve an equation to find out how many books she will need to read to meet her goal.

Step 2:

The mathematical expression is as follows:

Let the number of books be represented as x, such that:

$\begin{gathered} (\text{ 0. 5x ) 3 + ( }1.00x)5\text{ + ( 0.75x) 8 }\ge\text{ 75} \\ 1.5x\text{ + 5x + 6x }\ge\text{ 75} \\ 12.\text{ 5x }\ge75 \\ \text{Divide both sides by 12. 5, we have that:} \\ \text{x }\ge\text{ 6} \end{gathered}$

CONCLUSION:

She needs to read at least 6 books to meet her goal.