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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

There are at most 15 people composed of children and adults who ride in an elevator that has a capacity of 600 kilograms. If children’s weight averages 30

kilograms and adult’s weight averages 55 kilograms, how many children and adults are in the elevator? And solution

X + y ≤ 15 ("at most" means maximum. Use inequality symbol.)

Representation: Number of Children: x Children's weights: 30x

Number of Adults: 15-x Adults' weights: 55(15-x) or -55x + 825

Equation: (30x) + (-55x + 825) = 600

30 x - 55x + 825 = 600

-25x + 825 = 600

-25x = 600 - 825

-25x = -225

-25x/-25 = -225/-25

x = 9

Number of children: x ⇒ 9 children Number of adults: 15-x ⇒ 15-9 = 6 adults

ANSWER: 9 children and 6 adults

Check: x + y ≤ 15 9 + 6 ≤ 15 15 ≤ 15 (True. The total number of children and adults is at most or maximum 15.) -------------------- Weights: 30 kg (9) + 55 kg (6) = 600 kg 270 kg + 330 kg = 600 kg 600 kg = 600 kg (True)