Barbecue Drink Sales Analysis

If Merindah sold 19 orange drinks, how many lemon drinks did she sell?

Which of the following statements cannot be true if the total drinks sold is 33?

If the equation y = 2x represents the number of orange and lemon drinks sold, what is the only valid conclusion about the total?

What condition must be true for statements 1 and 2 to hold simultaneously?

If x represents lemon drinks and y represents orange drinks, which equation represents the total drinks sold?

Drink Sales at Barbecue

Merindah sold orange and lemon drinks at a barbecue.
She sold a total of 33 drinks.
The question asks which statements about the number of orange and lemon drinks sold cannot be correct.

Statements to Analyze

Statement 1: She sold 10 more orange drinks than lemon drinks.
Statement 2: She sold twice as many orange drinks as lemon drinks.
Statement 3: She sold 5 more lemon drinks than orange drinks.

Possible Combinations

To determine which statement(s) are impossible, consider different combinations of orange and lemon drink sales that add up to 33. These combinations must be whole numbers (you can't sell parts of a drink).

Determining Incorrect Statements

Analyzing the statements reveals that statements 1 and 2 are mutually exclusive and cannot be true simultaneously because they require different mathematical relationships between the two types of drinks.
Trying out various combinations of possible drink counts will demonstrate that statement 3, on one hand, is possible.
However, a correct combination of orange and lemon drink sales, that meets Statement 1 and Statement 2, cannot be true. If these are considered as options, the only answer that holds is that statement 1 and statement 2 are impossible to be correct simultaneously, as they do not have any common point of intersection.

This quiz analyzes the sales of orange and lemon drinks at a barbecue, focusing on determining which statements about the sales can be correct. Participants will need to evaluate the given statements based on the total number of drinks sold and the relationships between the quantities of each type of drink.