Mitchell travels from the us to canada, where he exchanges 150 us dollars for canadian dollars. he then spends 20 canadian dollars, returns to the us, and exchanges the remaining money back to us dollars. how many us dollars does mitchell have remaining?
the answer is 130.66

We know that 1 USD equals 1.31 CAD. If Mitchell exchanges 150 USD, how much CAD would be?

Then, he spends 20 CAD, so he return to the US with 176.50 CAD. How much USD would he have?

Therefore, Mitchell would have 134.70 USD.

Going by current exchange rates, Mitchell has $134.13 dollars remaining.

The current exchange rate of Canadian dollars to US dollars is:

CAD $ 1.26 : 1 USD

When Mitchell first exchanged the USD to CAD$, it became:

= 150 x 1.26

= CAD$ 189

He then spends CAD$ 20 which leaves him with:

= 189 - 20

= CAD$ 169

He then exchanges this back to US$:

= 169 / 1.26

= US$ 134.13

Mitchell has US$ 134.13 remaining.

Find out more at link.

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

equation image indicator

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

equation image indicator

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

equation image indicator

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!

12*c

step-by-step explanation: