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Sloan [31]
3 years ago
12

On a certain hot summers, 256 people used the public swimming pool. The daily prices are $1.75 for children and $2.75 fo adults.

The receipts for admission totaled to $551.50. How many children and adults swam that day? Explain.
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:152 children and 104 adults swam.

Step-by-step explanation:

Let x represent the number of children tickets. It also means that x children swam.

Let y represent the number of adult tickets. It also means that y adults swam.

On a certain hot summers, 256 people used the public swimming pool. This means that

x + y = 256

The daily prices are $1.75 for children and $2.75 for adults. The receipts for admission totaled to $551.50. This means that

1.75x + 2.75y = 551.5- - - - - -- - - - - -1

Substituting x = 256 - y into equation 1, it becomes

1.75(256 - y) + 2.75y = 551.5

448 - 1.75y + 2.75y = 551.5

- 1.75y + 2.75y = 551.5 - 448

y = 103.5

Approximately 104 adults

x = 256 - y = 256 - 104

x = 152

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John is 21 and bill is 15

Step-by-step explanation:

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3 years ago
In order to solve the system of linear equations, the coefficients of one of the variables must be the same number but opposite
Mashutka [201]

Answer:

Step-by-step explanation:

because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number  so that there will be at least one variable with the same number but with opposite signs.

it does not matter which variable you choose.

lets use y because 2 and 3 are smaller then 2 and 5.

so lets multiply the first equation by 2 in order to get y equal to 6.

2(2x)+2(3y)=(2)6

(do not forget to multiply what the equation is equal to also)

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now for the second equation we need y to equal negative 6

-3(5x)+-3(2y)=-3(4)

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now lets put the 2 new equations next to each other and see what we can cancel out

4x+6y=12

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8 0
3 years ago
an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o
Gnom [1K]
X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

7 0
3 years ago
Last One Please Help
tigry1 [53]

Answer: A. 3/5

Step-by-step explanation:

Count all the add numbers in 1-10 then add the 4 and you get

6/10

Simply and you get 3/5

7 0
3 years ago
A trapezoid has an area of 36 square feet. If its height is 8, and one base is 4, what is the length of the other base?
Georgia [21]

Answer:

5

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So the other base length is 5

5 0
2 years ago
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