Question

12 apples weigh 2kg soog. How many apples

will weigh 15 Kg .

Answer 1

Answer:

90 apples

Step-by-step explanation:

METHOD I:

12 apples weigh 2 kilos, mathematically means that the sum of 12 equally weighing apples is 2 kilos.

Let's say, one apple weighs some x kilos.

so the weight of 12 such apples become equal to = x + x + x + ... upto 12 times.

Okay, so that's a big series to write .. and calculate!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Let's try to find a short way to the end.

If one apple weigh x kilos,

=> 2 apples will weigh = x + x = 2x

and

=> 3 apples will weigh = x + x + x = 3x

so, dont you see a pattern being formed here

if I have "n" number of apples, their total weight will be equal to the weight of one apple × "n"

therefore, we get:

$\boxed{\mathfrak{total \:quantity = number\:of\:units \times value \:of\:one\:unit }}$

Using this $\uparrow$:

• number of units = 12 kg
• total quantity = 2 kg

=> 2 = 12 × value of one unit

=> value of one unit = 2/ 12 = 1/ 6

From here, we got the weight of one apple, i. e., 1/ 6 kg.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now, we gotta find out $\mathsf{ \red{ how \: many \: apples \: will \:weigh \:15kg}}$

once again using our golden formula:-

$\boxed{\mathfrak{\blue{total \:quantity = number\:of\:units \times value \:of\:one\:unit }}}$

• total quantity = 15 kg
• value of one unit = 1/ 6

=> 15 = nnumber of units × 1/ 6

=> 15 × 6 = number of units

=> 90 = number of units

Therefore, 90 apples weight 15 kilos.

__________________________________________________________

UNITARY METHOD:

$\mathsf{ 2\:kg\:is\:weighed\:by = 12\:apples}$

$\mathsf{ 1\:kg\:is\:weighed\:by = \frac{12}{2} \:apples}$

$\mathsf{ 15\:kg\:will\:be\:weighed\:by = \frac{12}{2} \times 15 \:apples}$

$\mathsf{ = 90\:apples}$

Thus, we got the same answer form both the methods, that is:-

$\boxed{\boxed{\huge{\mathsf{90\:apples\:weigh\:15kg}}}}$

____________________________

Both the methods are same, just the working is hidden in the unitary method, whereas the former shows the working too.

$\mathfrak{\overline{Hope\:this\:helps!}}$