Redute question and type your response in the box provided. Your response will be saved automatically Anna has solved the equation 32 – 7x = 2x – 3(4x – 5)
Anna's Solution
32 - 7x=2x-3(4x-5)
32 - 7x=2x-12x+15
32-7x= -10x+15
32 - 7x-7x=- Ox+15 - 7x
32 = -17x+15
32-15 =-17x+15-15
17 = -17%
17 -17x
-17 -17
-1= x
Anna's work contains an error. Identify and explain the error so that Anna knows what she has done incorrectly. Then solve the equation correctly
B I J = 5
x, x' Ο Σ
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step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

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x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

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x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

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x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

answer:

what is your question that you ask

step-by-step explanation:

i don't see any steps below, sweetheart