There are 568 apples and oranges in a box. There are 40 more apples than oranges. 15 oranges are rotten. How many more apples than fresh oranges are there in the box?
work:
apples + oranges = 568
apples = oranges + 40 (since there are 40 more apples than oranges)
how do i proceed ?
actual number of oranges ---- x
number of fresh oranges = x-15
number of apples = x+40
x + x+40 = 568
2x = 528
x = 264
number of oranges = 264
number of apples = 304
number of fresh oranges = 264-15 = 249
apples - fresh oranges = 304-249
= 55
To determine the number of fresh oranges in the box, we need to find the value of oranges in the equation.
From the information given, we know that the quantity of apples is equal to the quantity of oranges plus 40: apples = oranges + 40.
Now, substitute this value into the first equation: oranges + 40 + oranges = 568.
Combine like terms: 2 oranges + 40 = 568.
Subtract 40 from both sides of the equation: 2 oranges = 528.
Divide both sides by 2: oranges = 264.
So, there are 264 fresh oranges in the box.
To calculate the number of rotten oranges, we know that there are 15 rotten oranges.
To find the number of apples, use the first equation: apples + oranges = 568.
Substitute the value of oranges we found earlier: apples + 264 = 568.
Subtract 264 from both sides: apples = 304.
Therefore, there are 304 apples in the box.
To find the difference between the number of fresh apples and fresh oranges, subtract the number of fresh oranges from the number of fresh apples: 304 - 264 = 40.
Hence, there are 40 more fresh apples than fresh oranges in the box.