Question

Juan bought some dog food for $10 and 2 toys for x dollars each. He spent less than $25 total. How much could each toy have cost?
Write an inequality to represent the situation. Use x to represent the cost of each toy.

Answer 1

To create an inequality that represents the situation described, we can start by writing down the total cost that Juan spent.

1. The cost of the dog food is $10.
2. The cost of the toys is \(2x\) (since he bought 2 toys at \(x\) dollars each).

Now, we can express the total amount spent as:

\[
10 + 2x
\]

Since he spent less than $25 total, we can set up the inequality:

\[
10 + 2x < 25
\]

Now, to simplify this inequality, we can isolate \(x\):

1. Subtract 10 from both sides:

\[
2x < 25 - 10
\]

\[
2x < 15
\]

2. Now, divide both sides by 2:

\[
x < \frac{15}{2}
\]

\[
x < 7.5
\]

So, the inequality representing the cost of each toy is:

\[
x < 7.5
\]

This means that each toy could cost less than $7.50.