Question

Jovie is maintaining a camp fire. She has kept the fire steadily burning for   hours with   logs. She wants to know how many hours   she could have kept the fire going with   logs. She assumes all logs are the same.

Answer 1

Jovie can keep the fire going for 6 hours with 9 logs.

To determine how many hours Jovie can keep the fire going with 9 logs, we can set up a proportion based on the number of logs and the time the fire has been burning.

Let h_15 be the number of hours Jovie can keep the fire burning with 15 logs, and h_9 be the number of hours with 9 logs.

The proportion can be set up as follows:

`(h_(15))/(15) =(h_9)/(9)`

​Now, we can solve for

​
`h_9= (h_15 * 9)/(15)`

Since Jovie has kept the fire steadily burning for 10 hours with 15 logs, we can substitute h15 =10 into the equation:

`h_9= (10* 9)/(15) =(90)/(15) =6`

So, Jovie can keep the fire going for 6 hours with 9 logs.

Question

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h) she could have kept the fire going with 9 logs. She assumes all logs are thesame. How many hours can Jovie keep the fire going with 9 logs?