Q13. - Algebra 1

Question

BOOKS Akira bought one new book for \(20 and three used books for \)4.95 each. Write and evaluate an expression to find how much money the books cost.

Step-by-Step Solution

Answer

The expression is $\left(x+3y\right)$ and total cost of the books is $34.85.

Step 1. Defining the variable.

Let $x be the cost of 1 new book.

And $y be the cost of 1 old book.

Thus, 1 new book and 3 used books cost $$\left(x+3y\right)$

Step 2. Example of finding total cost.

If $5 be the cost of one book, then the total cost of 10 books will be 

$\$(5\times 10)=\$50$

Step 3. Finding the total cost.

The cost of one new book bought by Akira is $20

And the cost of one used book by Akira is $4.95

Thus, the cost of all books is given by,

$\begin{array}{l}\left(x+3y\right)=\$20+3\times \left(\$4.95\right)\\ =\$34.85\end{array}$