Math

QuestionHow many hours (h)(h) can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

Studdy Solution

STEP 1

Assumptions1. The fire has been burning for10 hours with15 logs. . Jovie wants to know how many hours she could keep the fire going with9 logs.
3. All logs are the same.

STEP 2

First, we need to find out how many hours one log can keep the fire going. We can do this by dividing the total hours by the number of logs used.
Hoursperlog=Totalhours/NumberoflogsHours\, per\, log = Total\, hours / Number\, of\, logs

STEP 3

Now, plug in the given values for the total hours and number of logs to calculate the hours per log.
Hoursperlog=10hours/15logsHours\, per\, log =10\, hours /15\, logs

STEP 4

Calculate the hours per log.
Hoursperlog=10hours/15logs=2/3hours/logHours\, per\, log =10\, hours /15\, logs =2/3\, hours/log

STEP 5

Now that we know how many hours one log can keep the fire going, we can find out how many hours9 logs can keep the fire going. This can be done by multiplying the hours per log by the number of logs.
Totalhours=HoursperlogtimesNumberoflogsTotal\, hours = Hours\, per\, log \\times Number\, of\, logs

STEP 6

Plug in the values for the hours per log and the number of logs to calculate the total hours.
Totalhours=2/3hours/logtimes9logsTotal\, hours =2/3\, hours/log \\times9\, logs

STEP 7

Calculate the total hours.
Totalhours=2/3hours/logtimes9logs=6hoursTotal\, hours =2/3\, hours/log \\times9\, logs =6\, hoursJovie can keep the fire going for6 hours with9 logs.

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