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Nookie1986 [14]
3 years ago
13

The zurassic zoo charges $11 each for adult admissions and $4 each for each child. The total bill for the 138 people from a scho

ol trip was $839. How many adults and how many children went to the zoo?
Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

The number of adults = 41

The number of children = 97

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

then according to the given conditions

x+y = 138\ \ \ Eqn\ 1\\11x+4y = 839\ \ \ Eqn\ 2

From equation 1:

x = 138-y

Putting in equation 2

11(138-y)+4y = 839\\1518-11y+4y = 839\\1518 -7y = 839\\-7y = 839-1518\\-7y = -679\\

Dividing both sides by -7

\frac{-7y}{-7} = \frac{-679}{-7}\\y = 97

Putting y = 97 in equation 1

x+ 97 = 138\\x = 138-97\\x = 41

Hence,

The number of adults = 41

The number of children = 97

Keywords: Linear equations variables

Learn more about linear equations at:

  • brainly.com/question/8955867
  • brainly.com/question/9045597

#LearnwithBrainly

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On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad
Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0
2 years ago
Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by
Ulleksa [173]

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

7 0
3 years ago
I need to show my work & have the correct answer, may someone help , I'm really bad at math
Harlamova29_29 [7]
See picture for answers

4 0
3 years ago
2.) Write the probability as a fraction in simplest form. P (consonant) *
ValentinkaMS [17]

Answer:

2/3

Step-by-step explanation:

There are 6 different letters and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

4 0
3 years ago
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Ronnie, Mack, Kim, and Ada together stacked a total of 40 pizzas in a pan. Ronnie stacked 0.25 of the pizzas, Mack stacked 9 of
natta225 [31]
Hello!

Here's how much each person stacked:

Ronnie -- 0.25 of the 40 pizzas.

Mack -- 9/40

Kim -- 35% of the 40 pizzas.

Ada -- rest of the pizzas.

Now, the questions asks for who stacked the most pizzas.

First, find our how many pizzas they stacked out of 40.

40 × 0.25 = 10

40 × 35% = 14

10 + 9 + 14 = 33

40 - 33 = 7

This means that Ronnie stacked 10 pizzas, Mack stacked 9 pizzas, Kim stacked 14 pizzas, and Ada stacked 7 pizzas.

ANSWER:

Kim stacked the most pizzas since she stacked 14 of them.
7 0
3 years ago
Read 2 more answers
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