Answer :
Answer:
In the beginning Jarek had 80 cookies.
Step-by-step explanation:
Number of donuts Jarek had = 75
amount of donuts Jarek gives away = 1/5
amount of Cookies Jarek gives away =20
To Find:
Number of Donuts Jarek had in the beginning = ?
Solution:
Let the number of Donuts Jarek had in the beginning be x
then
The number of donuts Jarek has after giving 1/5th of the donuts = the number of cookies he has after giving away 20 cookies
The number of donuts Jarek has after giving 1/5th of the donuts
=>[tex]75 - \frac{1}{5}\text{th of }75[/tex]
=>[tex]75 - \frac{1}{5}\times 75[/tex]
=>[tex]75 - \frac{75}{5}[/tex]
=>[tex]75 - 15[/tex]
=> 60--------------------------------------------(1)
The number of cookies he has after giving away 20 cookies
=> x - 20-----------------------------------------(2)
Equationg (1) and (2)
60 = x-20
x = 60 +20
x = 80