asked 27.6k views
4 votes
If it took 14 hours to mow 8 lawns then at that rate, how many lawns could be mowed in 35 hours? What was the rate of lawns mowed per hour?

asked
User Arturski
by
8.8k points

1 Answer

4 votes

Answer:

61 lawns

Explanation:

"Lawns mowed per hour" is the key to this, and they helped us by asking for that.

Since we want the unit "hours" in the top of the fraction, and "lawns" in the bottom, let's use what we're given and set it up this way:

Taking 14 hours to mow 8 lawns is the same as:

14 hours per 8 lawns, so:

14 h/8 lawns

Which equals 14/8,or 7/4, or 1 & 3/4, or 1.75 lawns per hour.

To find how many lawns could be mowed in 35 hours, simply multiply:

1.75 lawns/hr x 35 hours = 1.75(35) lawns = 61.25 lawns

See how "hours" cancelled out to leave just "lawns"?

And since 0.25 of a lawn isn't a full lawn, you'd round that down to:

61 lawns in 35 hours

answered
User Iizno
by
7.8k points
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