SOLUTION: Hi a fruiterer had 420 apples and oranges. There were 24 more apples than oranges. He sold 60 applesand bought some oranges.he then had half as many apples as oranges. How many o

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Question 1116918: Hi
a fruiterer had 420 apples and oranges. There were 24 more apples than oranges. He sold 60 applesand bought some oranges.he then had half as many apples as oranges. How many oranges did he buy.
thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let a = no. of apples
let r = no. of oranges
:
a fruiterer had 420 apples and oranges.
a + r = 420
There were 24 more apples than oranges.
a = r + 24
find the number oranges originally, in the first equation, replace a with (r+24)
(r+24) + r = 420
2r = 420 - 24
2r = 396
r = 396/2
r = 198 oranges
then
a = 198 + 24
a = 222 apples
:
He sold 60 apples and bought some oranges.
he then had half as many apples as oranges.
let x = no. of oranges bought
therefore
222 - 60 = 1%2F2(198 + x)
162 = 1%2F2(198+x)
multiply both sides by 2
2 * 162 = 198 + x
324 = 198 + x
324 - 198 = x
x = 126 oranges bought