At Tenille's yard sale, if Nicholas bought drinking glasses for $2 each and plates for $3.50 each, with a total expenditure of $18, how many drinking glasses did he purchase assuming he bought at least one of each?

To find the number of drinking glasses Nicholas purchased, let's break down the problem using the given information about prices and the total amount spent.

Nicholas bought drinking glasses for $2 each and plates for $3.50 each, with a total expenditure of $18. Since we know he bought at least one of each item, we can set up the problem using variables:

Let ( g ) represent the number of drinking glasses and ( p ) represent the number of plates. The total cost can be expressed with the equation:

[ 2g + 3.5p = 18 ]

Next, we need to consider the constraints:

1. ( g ) must be at least 1 (since he bought at least one drinking glass).

2. ( p ) must be at least 1 (since he bought at least one plate).

Let’s test the options based on the condition ( 2g + 3.5p = 18 ):

1. If we substitute ( g = 2 ) into the equation, we have:

[

2(2) + 3.5p = 18

]

[

4 + 3.5p