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balu736 [363]
3 years ago
10

At the local art exhibit, childrens tickets cost $3 each and adult tickets cost $4 each. On a certain day, the exhibit sold 56 t

ickets and earned $203 in revenue. How many childrens tickets and how many adult tickets were sold?
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

Children=21 Adult=35

Step-by-step explanation:

[using c for children tickets and a for adult tickets]

56=c+a and 203=3c+4a [starting system of equations]

a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]

203=3c+224-4c [simplify]

-21=-c [simplify 2.0]

c=21 [simplify 3.0]

56=21+a [plugging back into org. eq.]

so a=35

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Answer:

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Step-by-step explanation:

Start by finding the slope of this line. Let (x_1,\, y_1) and (x_2,\, y_2) represent two distinct points on a line on a Cartesian Plane. (That is, x_1 \ne x_2.) The slope of this line would be:

\displaystyle \frac{y_2 - y_1}{x_2 - x_1}.

For the line in this question:

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Indeed, x_1 \ne x_2. The slope of this line would thus be \displaystyle \frac{1 - 7}{4 - (-7)}, which is equal to \displaystyle -\frac{6}{11}.

On a Cartesian Plane, the point-slope form of a line that has a slope of m and includes the point (x_0,\, y_0) can be written as:

y - y_0 = m\, (x - x_0).

(Note the minus signs in this form.)

For the line in this question, m = \displaystyle -\frac{6}{11}. There are two equivalent expressions for its point-slope form:

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Step-by-step explanation:

There are different way to solve it

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