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dimulka [17.4K]
3 years ago
14

The admission fee at fun park is $13 for adults and $9 for children. On a certain day, 940 people entered the park and $10,148 w

as collected. How many children attended fun park on that day? Use a system of equations approach to find an answer.
Mathematics
2 answers:
siniylev [52]3 years ago
7 0
The answer is 518 children attended the fun park hope this helps
slava [35]3 years ago
3 0
A) a + c = 940
B) 13a + 9c = 10,148
Multiplying equation A by -9
 
A) -9a -9c = -8,460 Then adding this to B
B) 13a + 9c = 10,148
4a = 1,688
adults = 422

A) 422 + c = 940
children = 518

 


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Answer:

2u + v - 4w = <40 , -4>

6u - 8v = <-78 , 58>

4v - 7w = <101 , -36>

11u + 3w = <-88 , 89>

Step-by-step explanation:

* Lets find the value of each operation to find its resultant vector

# 2u + v - 4w

∵ u = <-5 , 7>

∴ 2u = <-10 , 14>

∵ v = <6 , -2>

∵ w = <-11 , 4>

∴ 4w = <-44 , 16>

∴ 2u + v - 4w = <-10 + 6 - -44 , 14 + -2 - 16>

∴ 2u + v - 4w = <40 , -4>

# 6u - 8v

∵ u = <-5 , 7>

∴ 6u = <-30 , 42>

∵ v = <6 , -2>

∵8v = <48 , -16>

∴ 6u - 8v = <-30 - 48 , 42 - -16>

∴ 6u - 8v = <-78 , 58>

# 4v - 7w

∵ v = <6 , -2>

∴ 4v = <24 , -8>

∵ w = <-11 , 4>

∴ 7w = <-77 , 28>

∴ 4v - 7w = <24 - -77 , -8 - 28>

∴ 4v - 7w = <101 , -36>

# 11u + 3w

∵ u = <-5 , 7>

∴ 11u = <-55 , 77>

∵ w = <-11 , 4>

∴ 3w = <-33 , 12>

∴ 11u + 3w = <-55 + -33 , 77 + 12>

∴ 11u + 3w = <-88 , 89>

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