Question

the cost of the previous year’s booths and prizes for Class Fun Day was $504. This year’s cost of the prizes and booths increased by 8% from the cost of the previous year. One of your classmates believes that the expression can be rewritten from $504+ 8/100x$504 to 1.8($504) to calculate this year’s cost. Explain your classmate’s error then determine the correct expression, and find the cost of prizes and booths for this year

Answer 1

Answer:

The correct expression will be 1.08($504).

Step-by-step explanation:

The cost of the previous year’s booths and prizes for Class Fun Day was $504.

Now, this year’s cost of the prizes and booths increased by 8% of the cost of the previous year.

Therefore, this year's cost of prizes and booths will be given by  

$(504 + \frac{504 \times 8}{100}) = (504 + 0.08 \times 504) = 1.08 \times (504) = 544.32$ dollars

So, if one of my classmates believes that the expression can be rewritten from $504+ 8/100x$504 to 1.8($504) to calculate this year’s cost then he made a mistake to multiply $504 with 1.8 in place of 1.08. (Answer)

Answer 2

The expression to solve the question will be 1.08($504) and the cost is $544.32.

Based on the information given in the question, the previous year’s booths and prizes for Class Fun Day were $504 and it was increased by 8% from the cost of the previous year.

Therefore, the equation to solve this year's cost will be:

= (1 + 8%) × $504

= 1.08 × $504

= $544.32

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