Question

(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

Answer 1

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 2

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

2) x = 50

3) Total number of people is 500

Explanation:

since we have given that

1) Original price of jacket = $65.00

Discount rate on jacket = 40%

Discount is given by

`(40)/(100)* 56\\\\=0.4* 65\\\\=\$26`

So, the price becomes

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

Rate of sales tax = 5%

Amount of sales tax is given by

`(5)/(100)* 39\\\\=0.05* 39\\\\=\$1.95`

Final price of the jacket is given by

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

2)
`(16)/(50)=(x)/(156.25)`

We need to solve for 'x':

`(16)/(50)=(x)/(156.25)\\\\16* 156.25=50* x\\\\2500=50x\\\\(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,

`(42)/(100)* x=210\\\\0.42x=210\\\\x=(210)/(0.42)\\\\x=500`

Hence, total number of people is 500.