Finding part, whole, or percent
Proportions to find either the part,whole, or percent
Percent Change
Simple Interest
Final Jeopardy
100
What is 42% of $200?
42/100=x/200
8400=100x
Divide both sides by 100
$84 = x
100
Natanel and Yosef go for lunch. If their food and beverages cost $42.60 and there is an 8.5% meals tax, how much is the bill? Write your answer to the nearest cent.
If it asks how much their bill costs total.
8.5% of 42.60 is 3.621 which is $3.62.
Add that to $42.60 and you get $46.22
100
What is the formula for simple interest and what does each variable stand for?
I=prt where I is the simple interest, p is the principal amount, r is the rate of interest, and t is the time.
200
What is the total cost of $232 Italian imported wine at a tax rate 24.5%?
Tax is 56.84 so total cost is $288.84.
200
In Round 1, Dave struck out 42 times in 80 times at bat. In Round 2, he struck out 65 times in 120 times at bat. In Game 3, Dave struck out 38 times in 160 times at bat.
Complete the proportion to represent the percent of strikeouts per at-bats.
()/360=x/
145/360=x/100
200
Without a calculator, if the length of a cat grows from 10 to 13 inches in one year, what percent change has occurred?
30% increase.
10 to 13 is like 100% to 130%
200
An initial deposit of 5,000 dollars is made into a savings account that compounds 7.1% interest annually. How much is in the account at the end of 5 years?
$6775
300
In YSZ, 4% of the staff voted for the losing candidate Kamala Harris. If there are 150 staff members, how many did not support the loser candidate Kamala Harris?
4% of 150 is 6, meaning 6 staff members support Kamala. So 144 did not support her.
300
Peter's friends take the elevator up the Washington Monument. If they get stuck 502 ft up, and the Washington Monument is 555 ft, what percent of the building have they traveled upward? (Round to the nearest percent)
p/100=502/555
p = 90.45045...
which rounds to about 90%
300
Tesla's stock price hit $350 on Friday morning. By the end of the day, the stock price ends up dropping to $346.47 . What is the percent change? Round to the nearest hundredth of a percent.
350 is the original
346.47 is the new
(346.47-350)/350
-3.53/346.47=0.01008...
-1.0100...%
= -1.01%
300
Aaron deposits 10,000 dollars at 4% interest for 45 years. How much will he earn?
$18,000
400
What percent of 19 is 4.75?
The questions says WHAT PERCENT, so it wants the percent, this means 4.75 is your part (is 4.75), and 19 is your whole (of 19).
p/100=4.75/19
19p=475
25%
400
Tyrone measures and finds that he can do a vertical jump that is 25.8% of his height. If Tyrone can jump 12.4 inches, how tall is he to the nearest inch?
His vertical jump (12.4 inches) IS 25.8% of his height.
Remember (is)/(of)
25.8/100=12.4/x
1240=25.8x
x=48 inches
400
The average gas price per gallon for Trump's entire four-year term was at $2.57. The average gas price for Biden's presidency so far is $3.87. What is the percent change from Trump to Biden, to the nearest whole percent?
3.87 - 2.57 = 1.30, divided by 2.57 is .50583658...
which multiplies 50.5% which rounds to 51%.
400
Sarah loaned Marissa $20,000 to buy a car at a simple interest rate of 3.1%. If Marissa owes an extra $3100 when she returns the money, how long did she borrow the loan for?
I = p r t
3100 = (20,000) x (0.031) x t
3100 = 620 x t
5 = t
5 years
500
What is 3/4% of[(-2.4)times(-3/8)]?
27/40 or0.00675
500
Liam buys a T-shirt on sale. If the shirt usually costs $24.99, and it was on sale for 15% off, how much did Liam pay? Round to the nearest cent.
First find how much the discount will be, then subtract it from the original price.
15/100=x/24.99
This gets x = 3.7485 which as money (to the nearest cent) must be $3.75 which is your discount.
Now do $24.99 - $3.75 and you get $21.24
$21.24 is the shirt after 15% off
500
On the first visit to the veterinarian’s office, Clark's dog weighed 620 grams. On the second visit, the dog had gained 470 grams. On the third visit, the dog had gained another 320 grams. What is the percent increase since the first visit in the dog’s weight rounded to the nearest percent?
Original is 620. New weight is 1410.
(1410-620)/620
= 1.27419355... (move two decimal places or multiply by 100 to write as a percent)
= 127.4% but you need the nearest percent (whole number) so you get 127%.
500
How much money was borrowed if $4250 is owed in interest at the end of 7 and one quarter years at a rate of 2 and a half percent? (Round to the nearest cent)
I= prt
4250 = (p) x (.025) x (7.25)
$23448.28
500
Choice C
20% of $473 is $94.60. So the discounted price before tax is $378.40.
Now tax that discounted price.
12% of $378.40 is $45.408 which rounds to $45.41. Add that tax to the discounted price for a final answer of $423.81