Question

Dylan enjoys ramen noodles and music downloads. His monthly budget for these two items is 13 dollars. If the price of a package of ramen noodles is $1.19 and the price of a music download is $1.98, how many packages of ramen noodles can he afford each month if he purchases no music downloads? (Round your answer to the nearest tenth. For example: 1.4).

Answer 1

We are given that Dylan can only spend $13. If he is buying Ramen Noodles and Music Downloads, then the sum of the total cost of these two items must be equal to $13. Therefore, we need to add the products of the number of each item by their corresponding unit price. If "x" is the number of packages of ramen noodles and "y" is the number of music downloads, then we have the following relationship:

`1.19x+1.98y=13`

Since he will purchase no music downloads, this means that y = 0, replacing in the relationship:

`\begin{gathered} 1.19x+1.98(0)=13 \\ 1.19x=13 \end{gathered}`

Now we can solve for "x" by dividing both sides by 1.19:

`x=(13)/(1.19)`

Solving the operation:

`x=10.9`

Therefore, Dylan can buy 10.9 Noodle packages.