Melissa collected three kinds of autumn leaves when she was out walking today-elm, maple and oak. She has 2 times as many maple leaves as elm leaves and 5 times as many oak leaves as elm leaves. Altogether she has 32 leaves how many of eash kind does she have?

X Elm leaves.

2X Maple
5X Oak

X + 2X + 5X = 32,
8X = 32,
X = 32/8 = 4,
2X = 2 * 4 = 8,
5X = 5 * 4 = 20.

The Answer is simply there are 4 Elm Leaves, 20 oak, and 8 Maple Leaves!

52

To solve this problem, let's represent the number of elm leaves as "x".

We are given that Melissa has 2 times as many maple leaves as elm leaves. Therefore, the number of maple leaves can be represented as "2x".

Similarly, Melissa has 5 times as many oak leaves as elm leaves, so the number of oak leaves can be represented as "5x".

Given that the total number of leaves is 32, we can create the following equation:

x + 2x + 5x = 32

Simplifying the equation, we have:

8x = 32

Dividing both sides of the equation by 8, we find:

x = 4

Now that we have the value of x, we can substitute it back into the equations to find the number of each type of leaf:

- Elm leaves: x = 4
- Maple leaves: 2x = 2(4) = 8
- Oak leaves: 5x = 5(4) = 20

Therefore, Melissa has 4 elm leaves, 8 maple leaves, and 20 oak leaves.