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Fractions and Decimals

Answer the questions below. When you are finished, save your work to submit to the assignments page.
Please make sure to show all the work to support each of your answers.

Max went to Target and spent $27.42. He paid with a $50 bill. How much money will he get back as change? Show Your Work

a.) Write as an improper fraction. Show Your Work (2pts)



What is the reciprocal of Show Your Work (1pt)


Use your answer from parts a and b to solve the problem below. Write your answer as a mixed number in simplest form. Show All Your Work (2pts)

Bradley’s parents were planning a big birthday party for him.
His parents bought 7 goodie bags. Each bag costs $4.43. How much did they spend on goodie bags? Show your work. (2pts)


They spent 225 dollars to rent pony rides for 6 hours. How much is the hourly rate for the rental? Show your work (2pts)

How much total money did Bradley’s parents spend buying the goody bags and the pony rides? Show your work. (2pts)

User Welbog
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1 Answer

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Final answer:

To find out how much money Max will get back as change, subtract the amount he spent from the amount he paid. To write the amount as an improper fraction, divide the dollars by the number of cents in a dollar. The amount spent on goodie bags can be found by multiplying the cost of each bag by the number of bags. The total money spent is the sum of the amount spent on goody bags and the amount spent on pony rides.

Step-by-step explanation:

To find out how much money Max will get back as change, we need to subtract the amount he spent from the amount he paid. $50 - $27.42 = $22.58. So, he will get $22.58 back as change.

a) To write $22.58 as an improper fraction, we divide the dollars by the number of cents in a dollar. $22.58 is equivalent to 22 + 58/100, which can be written as the improper fraction 2258/100.

b) The reciprocal of 2258/100 is 100/2258.

c) To solve the problem using the reciprocal, we multiply the amount paid by the reciprocal: $27.42 * (100/2258). This gives us a decimal answer of 1.214, which can be written as a mixed number in simplest form as 1 214/1000.

To find out how much Bradley's parents spent on goodie bags, we multiply the cost of each bag ($4.43) by the number of bags (7). 4.43 * 7 = $31.01. So, they spent $31.01 on goodie bags.

To find out the hourly rate for the pony ride rental, we divide the total amount spent ($225) by the number of hours (6). 225 / 6 = $37.50. So, the hourly rate for the rental is $37.50.

To find out how much total money Bradley's parents spent, we add the amount spent on goody bags ($31.01) to the amount spent on pony rides ($225). 31.01 + 225 = $256.01. So, Bradley's parents spent a total of $256.01 buying the goody bags and the pony rides.

User Machiel Visser
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