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
[tex]\frac{40}{100}\times 56\\\\=0.4\times 65\\\\=\$26[/tex]
So, the price becomes
[tex]\$65-\$26\\\\=\$39[/tex]
Rate of sales tax = 5%
Amount of sales tax is given by
[tex]\frac{5}{100}\times 39\\\\=0.05\times 39\\\\=\$1.95[/tex]
Final price of the jacket is given by
[tex]39+1.95\\\\=$40.95[/tex]
2) [tex]\frac{16}{50}=\frac{x}{156.25}[/tex]
We need to solve for 'x':
[tex]\frac{16}{50}=\frac{x}{156.25}\\\\16\times 156.25=50\times x\\\\2500=50x\\\\\frac{2500}{50}=x\\\\x=50[/tex]
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,
[tex]\frac{42}{100}\times x=210\\\\0.42x=210\\\\x=\frac{210}{0.42}\\\\x=500[/tex]
Hence, total number of people is 500.
