Question

Ms. Waters is bringing the centerpieces for the end of the year banquet and plans on using candles and vases. She spends $50 total.

The system that can be used to represent her situation is given, where x represents the number of candles purchased and y represents
the number of vases purchased.
3x + 5y = 50
1 + y = 12
Which statement about this situation is true?
The cost of each vase is $3.
The total number of items needed is 8.
The total number of items needed is 12
The cost of each candle is $5.

Answer 1

The only true statement is the total number of items needed is 12.

Explanation:

Ms. Waters is bringing the centerpieces for the end of the year banquet and plans on using candles and vases. She spends $50 in total.

The system that can be used to represent her situation is given, where x represents the number of candles purchased and y represents the number of vases purchased as

3x + 5y = 50 and

x + y = 12.

Therefore, the cost of each vase is $5, not $3.

The cost of each candle is $3, not $5.

And the total number of items needed is 12, not 8.

So, the only true statement is the total number of items needed is 12. (Answer)