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anygoal [31]
3 years ago
9

At the movie theatre, child admission is S5.20 and adult admission is $8.30. On Tuesday, 156 tickets were sold for a total sales

of S1087.10. How many adult
tickets were sold that day?
Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

So, 89 Adult tickets were sold.

Step-by-step explanation:

So, we first name our variables, say, a for number of adult tickets, and c for child tickets.

Then we write our system of equations, first the total $ sale:

5.2c + 8.3a = 1087.10

Then we write the 2nd equation, the total number of tickets:

c + a = 156

Now, we can solve the system:

We do have different methods, let's to by subsitution.

make some change to the 2nd equation, to make c the subject: c = 156 - a

Now we plug that into the 1st equation:

5.2(156 - a) + 8.3a = 1087.10

811.2 - 5.2a + 8.3a = 1087.10

811.2 + 3.1a = 1087.10

3.1a = 275.9

a = 89

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The cash price of the car includes the amount of the loan plus the amount of the down payment
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Pv the amount of the loan ?
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5 0
3 years ago
A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90
andre [41]

Answer:

5 \frac{5}{8} cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 \frac{1}{4} cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 \frac{1}{4} to improper fraction.

2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u>                 <u>Number of cookies</u>

 \frac{9}{4}                               36

       x                                            90

Now form a proportion.

\frac{\frac{9}{4}}{x} = \frac{36}{90}

Now let's cross multiply, we get

\frac{9}{4} *90 = 36x\\\

\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = 5 \frac{5}{8} cups

So the baker needs 5 \frac{5}{8} cups to make 90 cookies.

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3 years ago
695 -7x = 140<br> What is the value of x?
Sphinxa [80]

Hello!

695 - 7x = 140

-7x = 140 - 695

-7x = -555

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x = 79.29

I hope this helps you! Have a lovely day!

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