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Lesson 16: Topic C: Lesson 24: Applications of systems of equations and inequalities

Systems of inequalities word problems

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Members of the swim team want to wash their hair. The bathroom has less than

5600

liters of water and at most

2.5

liters of shampoo.

70 L + 60 S < 5600

represents the number of long-haired members

L

and short-haired members

S

who can wash their hair with less than

5600

liters of water.

0.02 L + 0.01 S \leq 2.5

represents the number of long-haired members and short-haired members who can wash their hair with at most

2.5

liters of shampoo.

Does the bathroom have enough water and shampoo for $8$ ‍ long-haired members and $7$ ‍ short-haired members?

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