Question

Gabe is buying soda and juice for a party and wants to spend no more than $50. Soda costs $2 per bottle, and juice costs $1 per bottle.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of bottles of soda
y = the number of bottles of juice

Answer 1

To write the inequality that describes Gabe's spending on soda and juice with the given variables, we need to consider the costs of each item.

Let:
- \( x \) = the number of bottles of soda
- \( y \) = the number of bottles of juice

The cost of soda is $2 per bottle, and the cost of juice is $1 per bottle. Gabe wants to spend no more than $50, so we can express the total cost in terms of \( x \) and \( y \) as follows:

\[
2x + 1y \leq 50
\]

To write this in standard form, we want to move all terms to one side of the inequality so that it equals zero:

\[
2x + y - 50 \leq 0
\]

Thus, the inequality in standard form is:

\[
2x + y \leq 50
\]