# Replace each fruits and animals with numbers and operators

Replace each fruit with numbers 5 to 10.
Replace each animal with operators $[+,-,×,/]$.
So all the math operations vertically and Horizontally correct.
Ignore BODMA rule (order of operations DO NOT matter)

• DOes the number of fruits matter? Like for each banana, there is a number or is it for the whole bunch of bananas?
– Sid
Jun 17, 2017 at 5:40
• @Sid No, it is for the whole bunch of bananas Jun 17, 2017 at 5:45
• And does each number correspond to a unique animal? Or can two animals have the same number?
– Sid
Jun 17, 2017 at 5:47
• @Sid each number correspond to a unique fruit, each animal correspond to a unique operator. Jun 17, 2017 at 5:49
• Hey, do order of operations matter? Jun 17, 2017 at 6:02

I found two solutions.

 7 - 6 + 5 = 6
-   /   *
8 - 6 + 8 = 10
+   *   /
9 / 9 * 5 = 5
=   =   =
8   9   8

8 - 9 +10 = 9
-   /   *
7 - 9 + 7 = 5
+   *   /
6 / 6 *10 = 10
=   =   =
7   6   7

My working:

The second and third column, and the third row, suggest that butterfly/rabbit are inverse operations. If you choose them to be addition/subtraction, you soon find the other equations to be impossible - the numbers 5-10 are too restrictive in their factors to make it work. Therefore, butterfly/rabbit are divide/multiply and obviously in that order.

If the chicken were addition, lion subtraction, you soon need some duplicate numbers for the fruits, so chicken is subtraction, lion addition.

The equations of the first column and the second row now give you that two bunches of berries(?) equals lychee+pineapple and also equals cherry(?)+banana. This means that the berries must be 7 (with 6+8 and 5+9, leaving the lemon as 10) or 8 (with 7+9 and 6+10, leaving the lemon as 5). In either case, the first row equation determines how the four paired numbers are placed for the other fruits.

Here's what I got:

Banana=6
3 Leaf-type thing=8
Pineapple=7
Moon-like thing=9
Lemon=5
Brown thing=10

And the animals:

Lion=+
Hen=-
Butterfly=/
Rabbit=*

So..

Let's start -

1. Take the first row, and get all the bigger numbers in -

2. Then, take the 1st vertical row and get the next big number in -

3. Now, it's just the matter for filling the things we have -

4. It can be easily seen than the remaining operations / and * can be used now