This week, the art museum gave away 1,200 tickets to the Greco exhibit, which was 150 percent as many tickets as it gave away last week. Martin is trying to figure out how many tickets the museum gave away last week. His work is shown below. Step 1: StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction = StartFraction question mark Over 1200 EndFraction
Step 2: 100 times 12 = 1200
Step 3: 150 times 12 = 1800

In what step did Martin make a mistake, if any?
Step 1: Martin should have written his ratio as StartFraction 1200 Over question mark EndFraction.
Step 2: Martin should have divided 1200 by 8.
Step 3: Martin should have added 1200 and 150.
Martin did not make any mistakes.
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kj;  

Step-by-step explanation:

Answer

sorry i do not know

explantion:

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!