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On a certain hot​ summer's day, 185 people people used the public swimming pool.The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $335.50.How many children and how many adults swam at the public pool that​ day?

Sagot :

PedroP25814

Answer: 139 adults and 46 children. Did you not get this? I'm in 8th grade!!!!!!!

Explanation: a=adults, c=children

Rewrite equations:

a+c=185

2a+1.25c=335.5

Step: Solve a+c=185for a:

a+c=185

a+c+−c=185+−c (Add -c to both sides)

a=−c+185

Step: Substitute −c+185 for 'a' in 2a+1.25c=335.5:

2a+1.25c=335.5

2(−c+185)+1.25c=335.5

−0.75c+370=335.5 (Simplify both sides of the equation)

−0.75c+370+−370=335.5+−370 (Add -370 to both sides)

−0.75c=−34.5

−0.75c

−0.75

=

−34.5

−0.75

(Divide both sides by -0.75)

c=46

Step: Substitute 46 for 'c' in 'a' =−c+185:

a=−c+185

a=−46+185

a=139(Simplify both sides of the equation)

Answer:

a(adults)=139 and c(children)=46

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