(1. A jacket's original price is $65.00. it is on sale for 40% off. you have to pay 5% sales tax. what is the final price for the jacket?

(2. 16/50 = x/156.25

(3. Favorite sport to watch. 42% like football 25% like soccer 33% like baseball

if 210 people like football then how many people where surveyed?

Show your work please

1) 65x .6= 39
39x 1.05= 40.95
Answer: $40.95

2)156.25/50= 3.125
3.125x16=50
x=50

3) 210 42
------ = -----
x 100

210x100= 21000
21000÷42=500

500 people were surveyed

Answer Link

RenatoMattice RenatoMattice · Answer 2 · 2019-02-01T11:24:03-05:00

Answer: 1) Final price of the jacket = $40.95

2) x = 50

3) Total number of people is 500

Step-by-step explanation:

since we have given that

1) Original price of jacket = $65.00

Discount rate on jacket = 40%

Discount is given by

$\frac{40}{100}\times 56\\\\=0.4\times 65\\\\=\$26$

So, the price becomes

$\$65-\$26\\\\=\$39$

Rate of sales tax = 5%

Amount of sales tax is given by

$\frac{5}{100}\times 39\\\\=0.05\times 39\\\\=\$1.95$

Final price of the jacket is given by

$39+1.95\\\\=$40.95$

2) $\frac{16}{50}=\frac{x}{156.25}$

We need to solve for 'x':

$\frac{16}{50}=\frac{x}{156.25}\\\\16\times 156.25=50\times x\\\\2500=50x\\\\\frac{2500}{50}=x\\\\x=50$

Hence, x = 50

3)Number of people who like football = 210

Percent of people who like football = 42%

Let the total number of people be x

According to question,

$\frac{42}{100}\times x=210\\\\0.42x=210\\\\x=\frac{210}{0.42}\\\\x=500$

Hence, total number of people is 500.