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densk [106]
3 years ago
11

CORRECT ANSWER GETS BRAINLIESTTTT!!!!!

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Senior tickets (x)

Child tickets (y)

First day:  3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4   -4(3x + 5y = 70),  which makes it

-12x - 20y = -280

(+)12x + 12y = 216    add to second equation

-8y = -64

divide by -8.    y = 8

Plugin the y value to either equation ( I will choose first equation)

3x + 5(8) =70

3x+ 40 = 70

3x = 30

x = 10

Senior tickets are $10, child tickets are $8

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One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42. 50. The nex
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The cost of one container of popcorn and granola is $6.5 and $2.5.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

<h3>To find </h3>

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<h3>How to get it?</h3>

Let p represent the cost of one container of popcorn.

Let g represent the cost of one granola bar.

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

5p + 4g = 42.50 .....1

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

3p + 6g = 34.50 .....2

From Equations 1 and 2, we have

p = 6.5  and  g = 2.5

Thus, the cost of one container of popcorn and granola is $6.5 and $2.5.

More about the linear system link is given below.

brainly.com/question/20379472

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Step-by-step explanation:

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