Question

Malik wants to spend no more than $30 while stocking up on peanut butter and jelly. Peanut butter costs $1 per jar, while jelly costs $5.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of jars of peanut butter
y = the number of jars of jelly

Answer 1

To represent the situation mathematically, we can set up the following inequality based on the costs of peanut butter and jelly.

Let:
- \( x \) = number of jars of peanut butter
- \( y \) = number of jars of jelly

The cost of peanut butter is $1 per jar, so the total cost for peanut butter is \( 1x \) (or simply \( x \)).

The cost of jelly is $5 per jar, so the total cost for jelly is \( 5y \).

Malik wants to spend no more than $30, which gives us the inequality:

\[
x + 5y \leq 30
\]

To express this in standard form, we can rearrange it to have all terms on one side of the inequality:

\[
x + 5y - 30 \leq 0
\]

Thus, the inequality in standard form that describes the situation is:

\[
x + 5y \leq 30
\]