Question

SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They have at most 50 candles, and want to make at least $100. Which system of linear inequalities represents the situation? x: The number of small candles y: The number of large candles

Answer 1

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

`x+y\leq 50`

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

`4x+6y\geq 100`

Therefore, the inequalities in the system of linear inequalities are
`x+y\leq 50` and
`4x+6y\geq 100`.