two boxes of apples contain a total of 24 apples. if you halve the number of apples in the first box and add 4 apples to the second box, the total changes to 20 apples. how many apples are in each box initially?
There was 16 apples in the first box and 8 apples in the second box initially.
Answer:
16 in first and 8 in second
Step-by-step explanation:
Let the number of apples be x in the first box then the number in the second box will be 24-x
if we half the number of apples in first box we get \(\frac{x}{2}\)
And we add 4 apples in the second box we get \(24-x+4=28-x\)
Since the apples in the two boxes were 20 we get
\(\frac{x}{2}+28-x=20\)
\(x+56-2x=40\)
After simplification we get:
x=16
Hence, number of apples in first box were x that is 16
And number of apples in second box were 24-x that is 24-16 is 8