Mr Bard needs to spend less than forty dollars on cups and plates for a cookout he bought the plates he needed for twenty four dollars the packages of cups cost four dollars each how many packages of cups x can he buy

1 answer

Mr. Bard has a budget of less than 40 dollars. He spent 24 dollars on plates, so we can set up the following inequality to find out how many packages of cups he can buy:

\[ 24 + 4x < 40 \]

Where \( x \) is the number of packages of cups he can buy, and each package costs 4 dollars.

Now, subtract 24 from both sides of the inequality:

\[ 4x < 40 - 24 \] \[ 4x < 16 \]

Next, divide both sides by 4:

\[ x < 4 \]

This means Mr. Bard can buy a maximum of 3 packages of cups (since he can’t buy a fraction of a package). Therefore, Mr. Bard can buy up to 3 packages of cups.