Adrian goes to the grocery store and buys grains from the bulk bins. The grains are sold by the pound. He buys some oatmeal at [tex]$\$[/tex]1.69[tex]$ per pound and some granola at $[/tex]\[tex]$3.38$[/tex] per pound. The total before tax is [tex]$\$[/tex]28.73[tex]$.

Step 1: Create two expressions to represent the cost of the oatmeal and the cost of the granola that Adrian bought.

Let $[/tex]x[tex]$ be the pounds of oatmeal and $[/tex]y[tex]$ be the pounds of granola.

Use the keypad to enter the answers in the boxes.

Cost of the oatmeal $[/tex]= \[tex]$ \square$[/tex]

Cost of the granola [tex]$= \$[/tex] \square$



Answer :

Let's denote the cost per pound for oatmeal and granola and then express the total cost based on the pounds purchased.

Given:
- Oatmeal costs \[tex]$1.69 per pound - Granola costs \$[/tex]3.38 per pound
- [tex]\(x\)[/tex] represents the pounds of oatmeal
- [tex]\(y\)[/tex] represents the pounds of granola

We need to create expressions for the cost:

1. Cost of the oatmeal:
The cost of the oatmeal can be calculated as the price per pound multiplied by the number of pounds [tex]\(x\)[/tex] of oatmeal.
[tex]\[ \text{Cost of the oatmeal} = 1.69 \times x \][/tex]

2. Cost of the granola:
Similarly, the cost of the granola is the price per pound multiplied by the number of pounds [tex]\(y\)[/tex] of granola.
[tex]\[ \text{Cost of the granola} = 3.38 \times y \][/tex]

Therefore, we have:

1. Cost of the oatmeal: [tex]\( 1.69 \times x \)[/tex]
2. Cost of the granola: [tex]\( 3.38 \times y \)[/tex]

So, the expressions are:

- Cost of the oatmeal [tex]\(= \$ 1.69x\)[/tex]
- Cost of the granola [tex]\(= \$ 3.38y\)[/tex]