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SIZIF [17.4K]
2 years ago
11

on a certain hot summer day 688 people used the public swimming pool. the daily prices are 1.75 for children and 2.00 for sdults

the receipt for admission totaled 1293.50. how many children and how many adults swam at the public pool that day
Mathematics
1 answer:
Virty [35]2 years ago
4 0

Answer:

Number of children = x = 330

Number of adults = y = 358

Step-by-step explanation:

Let

Number of children = x

Number of adults = y

x + y = 688 (1)

1.75x + 2.00y = 1293.50 (2)

From (1)

x = 688 - y

Substitute x = 688 - y into (2)

1.75x + 2.00y = 1293.50

1.75(688 - y) + 2.00y = 1293.50

1,204 - 1.75y + 2.00y = 1293.50

- 1.75y + 2.00y = 1293.50 - 1,204

0.25y = 89.50

y = 358

Substitute y = 358 into (1)

x + y = 688

x + 358 = 688

x = 688 - 358

x = 330

Number of children = x = 330

Number of adults = y = 358

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Step-by-step explanation:

Data given and notation    

\bar X=1.02 represent the sample mean

\sigma=0.04 represent the population standard deviation    

n=40 sample size    

\mu_o =1 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

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