Answer: 10
Explanation:
The puzzle involves multiplication and addition and requires you to assign a constant value to each fruit. Here's how to solve it:
· In the first row,
apple x apple x apple = 27
We want to find the value of "apple" that satisfies the equation.
We know that the left-hand side of the equation is the product of three apples,
so we can write:
apple x apple x apple = (apple)^3
We want this expression to equal 27, so we can set up the equation:
(apple)^3 = 27
To solve for "apple", we can take the cube root of both sides of the equation:
cube root[(apple)^3] = cube root(27)
apple = 3
Therefore, each apple has a value of 3, which satisfies the equation "apple(3) x apple(3) x apple(3) = 27".
- In the second row, let each mango be "m".
- Then, solve the equation 3 x m x m x m = 24.
To solve for "m", we can divide both sides by 3, which gives:
m x m x m = 8
Next, we can take the cube root of both sides of the equation, which gives:
∛ (m x m x m) = ∛8
Simplifying the left-hand side of the equation using the properties of exponents, we get:
m^ (3/3) = 2
Since m^(3/3) is simply m to the power of 1, we have:
m = 2
Therefore, we solved the equation 3 x 2 x 2 x 2 = 24, for "m" Mango equals 2.
· In the third row,
We are given that the product of one apple, one mango, and two oranges is equal to 96.
We set "P" as the value of each orange.
So, we can write the equation as follows:
3 x 2 x P x P = 96
Simplifying this expression, we have:
6P = 96
Dividing both sides by 6, we get:
P = 16
Taking the square root of both sides, we have:
P = ±4
However, since we are looking for the value of each orange "P" so we get the solution and conclude that each orange equals 4.
Therefore, we solved the equation 3 x 2 x 4 x 4 = 96, for "P" orange equals 4.
- Orange= 4, Mango=2, Apple= 3
- Finally, solve the equation in the last row:
- Orange + Apple x Mango = 4 + 3 x 2 = 10.
So there you have it!
The values of the fruits are: each apple equals 3, each mango equals 2, and each orange equals 4.