Question

At a yard sale, Tenille sold drinking glasses for $2.00 each and plates for $3.50 each. Nicholas spent a total of $18.00 on drinking glasses and plates at Tenille's yard sale. If Nicholas bought at least one glass and one plate, how many drinking glasses did he buy?

1) 1
2) 2
3) 3
4) 4

Answer 1

To solve the problem, set up a system of equations with variables representing the number of glasses and plates. Solve the system of equations to find the number of glasses Nicholas bought.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's use the variables g and p to represent the number of glasses and plates respectively. From the given information, we know that each glass costs $2.00 and each plate costs $3.50. We also know that Nicholas spent a total of $18.00.

So, we can write the following two equations:

• 2g + 3.50p = 18.00
• g + p >= 2

Solving this system of equations, we find that g = 3.

Therefore, Nicholas bought 3 drinking glasses.