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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.

User Stomcavage
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1 Answer

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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.

User Nmock
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