Help me with these! If I dont finish this test, my mom is gonna make me quit gymnastics forever, and I have a meet coming up! Please from the kindness of your heart, Explain how to work this out. But dont call me a cheater because im not here to have it given to me. Just some directions, because these R SO HARD! thank you sooo much!

17. Sarah buys a video game for $44.00 plus 4% sales tax. Her brother, Jack, buys a video game for $36.00 plus 6% tax. Show your work. (3 points)

a.) What is the total cost of Sarah’s video game? Show all work.
b.) What is the total cost of Jack’s video game? Show all work.
c.) Who spent more on tax?

18. The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your work. (3 points)

a.) What is the percent of change from last year to this year?
b.) Is this a percent of increase or decrease?
c.) If you have a 25% off coupon to use on the $10.00 ticket, what is the cost of your ticket?

old 8.50

new 10.00
percent change = 100 * (new percent - old percent) / old percent

= 100 (1.50)/8.50
positive is increase

100% - 25% = 75 % which is 0.75 as a fraction
0.750 * 10 = ???

oh and plz show work of how this is solved

decimal fraction = percent/100

so $x + y percent tax = x (1+ y/100)

Sarah 44 * 1.04
Jack 36*1.06

Sarah tax = 0.04*44
Jack tax = 0.06 *36

thx damon so much!

Sure! I can help you with these math problems. Here's an explanation of how to work them out step by step:

17. Sarah buys a video game for $44.00 plus 4% sales tax, and Jack buys a video game for $36.00 plus 6% tax.

a) To find the total cost of Sarah's video game, you need to add the sales tax to the original price. First, calculate the 4% of $44.00 by multiplying 44.00 by 0.04 (since 4% is equal to 0.04). The result is $1.76. Now, add this tax amount to the original price of $44.00: $44.00 + $1.76 = $45.76. Therefore, the total cost of Sarah's video game is $45.76.

b) To find the total cost of Jack's video game, you perform a similar calculation. Calculate the 6% of $36.00 by multiplying 36.00 by 0.06 (since 6% is equal to 0.06). The result is $2.16. Now, add this amount to the original price of $36.00: $36.00 + $2.16 = $38.16. Therefore, the total cost of Jack's video game is $38.16.

c) To determine who spent more on tax, compare the tax amounts calculated in parts a) and b). Sarah's tax amount is $1.76, and Jack's tax amount is $2.16. Since $2.16 is greater than $1.76, Jack spent more on tax.

18. The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year.

a) To find the percent of change from last year to this year, you subtract the old value from the new value and then divide it by the old value. In this case, you subtract $8.50 from $10.00, which gives you $1.50. Then, divide $1.50 by $8.50 and multiply the result by 100 to convert it into a percentage: ($1.50 / $8.50) * 100 = 17.65%. Therefore, the percent of change from last year to this year is approximately 17.65%.

b) To determine whether this is a percent of increase or decrease, consider the direction of the change. Since the value increased from $8.50 to $10.00, this is a percent of increase.

c) If you have a 25% off coupon to use on the $10.00 ticket, you can calculate the cost of the ticket after the discount. First, find 25% of $10.00 by multiplying $10.00 by 0.25 (since 25% is equal to 0.25). The result is $2.50. Now, subtract this amount from the original price of $10.00: $10.00 - $2.50 = $7.50. Therefore, the cost of your ticket after using the 25% off coupon would be $7.50.

I hope this helps you solve the problems and good luck with your test and gymnastics meet!