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Make Sense and persevere An office manageris selecting a water delivery service. AcmeH2O charges a $15 fee and $7.50 per 5-gallonjug. Best Water charges a $24 fee and$6.00 per 5-gallon jug. How many 5-gallonjugs will the office have to buy each monthfor the cost of Best Water to be less than thatof Acme H20?

Sagot :

You have that Acme H2O charges 15 fee and7.50 per 5-gallon. Furthermore, Best water charges 24 fee and 6.00 per 5-gallon.

In order to find the amount of five-gallons that the office have to buy, you can write, in an akgebraic form, the previous realtions, just as follow:

24 + 6x < 15 + 7.5x

That is, cost of Best water less than cost of Acme H20. x is the amount of five-gallons

You solve the previous inequality, as follow:

24 + 6x < 15 + 7.5x subtract 6x both sides and subtract 15 both sides

24 - 15 + 6x - 6x < 15 - 15 + 7.5x - 6x simplify

9 < 1.5x divide between 1.5 both sides

9/1.5 < 1.5x/1.5 simplify

6 < x

6 < x is the same as x > 6. Hence, Office would have to buy lower than 6 five-gallons.