Question
James has 1800sh to buy pencils. There two types of pencils, cheap and expensive The prices differ for 40 sh. If he buys cheap pencils he gets 12 more. What is price of the pencils.
Answers
Steve
If he can buy x expensive pencils that cost p each, then
xp = 1800
(x+12)(p-40) = 1800
so, since x = 1800/p,
(1800/p + 12)(p-40) = 1800
Now just solve for p
xp = 1800
(x+12)(p-40) = 1800
so, since x = 1800/p,
(1800/p + 12)(p-40) = 1800
Now just solve for p
unowen
Let n be the price of the expensive pencils. Then the price of the cheap pencils is n-40. So:
1800/n=1800/n-40 -12
1800(n-40)=1800n-12(n²-40n)
1800n-72000=1800n-12n²+480n
12n²-480n-72000=0
n²-40n-6000=0
(n-100)(n+60)=0
n=100, -60
☺☺☺☺
1800/n=1800/n-40 -12
1800(n-40)=1800n-12(n²-40n)
1800n-72000=1800n-12n²+480n
12n²-480n-72000=0
n²-40n-6000=0
(n-100)(n+60)=0
n=100, -60
☺☺☺☺