Question

Jonah is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5. He needs to buy at least 20 candles, and he cannot spend more than $80. Write a system of linear inequalities that represent the situation.

Answer 1

@jim_thompson5910

Answer 2

3.50x+5y<=80
y>=80?

Answer 3

`3.50x+5y<=80` looks good

Answer 4

Ok

Answer 5

x = number of small candles
y = number of large candles


x+y = total number of candles


x+y >= 20 because `He needs to buy at least 20 candles`

Answer 6

Thank you! I knew I did something wrong. Thanks for finding my mistake.

Answer 7

so the system is

\[\Large \begin{cases}3.5x+5y\le80\\x+y\ge 20\\x\ge0\\y\ge0\end{cases}\]

x>=0 and y >=0 are thrown in there to force x and y to be nonnegative

Answer 8

Ok thank you!