maddyjanssens maddyjanssens

18-03-2019
Mathematics

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the admission fee at an amusement park is $20 for children and $35 for adults. on a certain day 247 people entered the park, and the admission fees collected totaled $6965. how many children and how many adults were admitted

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tramserran tramserran

18-03-2019

Answer: 112 children & 135 adults

Step-by-step explanation:

# $

Child: x 20x

Adult: y 35y

Total: 247 6965

#: x + y = 247 → -20(x + y = 247) → -20x - 20y = -4940

$: 20x + 35y = 6965 → 1(20x + 35y = 6965) → 20x + 35y = 6965

15y = 2025

y = 135

Substitute y = 135 into either of the original equations to solve for x:

x + y = 247

x + 135 = 247

x = 112

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