A market had only cookies and donuts.The donuts were the 3/5 of the market and were 5 more than cookies.How many cookies were there?
A market had only cookies and donuts.
The donuts were the 3/5 of the market and were 5 more than cookies.
How many cookies were there?
Let d = donuts
Let c = cookies
(1)c=d−5(2)35⋅(c+d)=d|c=d−535⋅(d−5+d)=d35⋅(2d−5)=d3⋅(2d−5)=5d6d−15=5dd=15c=d−5c=15−5c=10
There were 10 cookies.
Since the donuts were 3/5 of the total....let the number be represented by (3/5)T where T is the total of donuts and cookies
Then the number of cookies must have been (2/5)T
And we know that adding 5 to the number of cookies = the number of donuts
So we have
(3/5)T = (2/5)T + 5 subtract (2/5)T from both sides
1/5T = 5 multiply through by 5
T = 25
So.....the number of cookies = (2/5)(T) = (2/5)(25) = 10