apples,oranges and pears are packed into a basket in the ratio 3:5:1. there are 12 more oranges and pears than apples.how many fruits are there altogether?

let the number of apples, oranges, and pears

be 3x, 5x, and x respectively.

5x+x - 3x = 12
3x = 12
x = 4

so 12 apples, 20 oranges and 4 pears

check:
oranges + pears = 24
apples = 12

is 24 more than 12 by 12 ?? YES

To find out how many fruits there are altogether, we first need to determine the number of fruits for each type.

Let's assume the number of apples is 3x, the number of oranges is 5x, and the number of pears is x.

We know that there are 12 more oranges and pears combined than apples. This can be expressed as:
(5x + x) - 3x = 12

Simplifying the equation, we have:
6x - 3x = 12
3x = 12
x = 4

Now that we have the value of x, we can substitute it back into our assumptions to find the number of fruits for each type:
Number of apples = 3x = 3 * 4 = 12
Number of oranges = 5x = 5 * 4 = 20
Number of pears = x = 4

To find the total number of fruits, we add up the quantities:
12 (apples) + 20 (oranges) + 4 (pears) = 36

Therefore, there are 36 fruits altogether.