Write an equation to represent the following description "fourteen less than 8 times a number is -11

Mathematics

1 answer:

Serggg [28]3 years ago

6 0

Answer:

(8 * x) -14 = -11

Step-by-step explanation:

* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.

x = the number that is missing being multiplied by 8

I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.

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-------------------------------------------------------------------------
Given Information
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Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

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Assumptions
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Let x be the number of adults and y be the number of children

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Form equations
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Total number of people
x + y = 165
Total amount collected
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Present the two equations and solve for x and y
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x + y = 165 ------------------------- (eqn 1)
6x + 2y = 618 ------------------------- (eqn 2)

(eqn 1) :
x + y = 165
x = 165 - y ------------------------- substitute into (eqn 2)

6(165 - y) + 2y = 618
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4y = 990 - 618
4y = 372
y = 93 ------------------------- substitute into (eqn 1)

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x + 93 = 165
x = 165 - 93
x = 72

x = 72 and y = 93

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Ans: 72 adults and 93 children
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