Question

Ranbir divides soem toffees into two grops in the ratio 4:6. If the bigger group has 16 toffees more , how many toffees in each group

Answer 1

Answer:

$\bold{Toffees\:in\:each\:group = 48 \ and \ 32}$

Step-by-step explanation:

Question:

Ranbir divides some toffees into two groups in the ratio of 4 : 6. If the bigger group has 16 more toffees, how many toffees in each group?

Given:-

• Divided in ratio of = 4 : 6
• Bigger group = Smaller group + 16

To find:-

• Toffees in each group = ?

Let toffees in smaller group be 4x and bigger group be 6x

${\underline{\underline{\bold{According\:to\:question:-}}}}$

$\longrightarrow\sf 4x + 16 = 6x \\\\\\\longrightarrow\sf 4x - 6x = - 16 \\\\\\\longrightarrow\sf - 2x = - 16 \\\\\\\longrightarrow\sf x =\cancel{\dfrac{-16}{-2} } \\\\\\\longrightarrow\underline{\boxed{\bold{ x = 8}}}$

$\rule{100}{2}$

→ Toffees in bigger group = 6x = 6×8 = 48

→ Toffees in smaller group = 4x = 4×8 = 32

$\therefore\bold{\underline{Toffees\:in\:each\:group = 48\: and \: 32}}$

Answer 2

✪ Question :- Ranbir divides soem toffees into two grops in the ratio 4:6. If the bigger group has 16 toffees more , how many toffees in each group ?

✰ Solution :-

Lets assume that , Smaller group has got 4x toffee and bigger group got 6x toffee total.

Than ,

➳Toffee More Got by bigger group are = 6x-4x = 2x .

And, it has been said that in Question , bigger group has 16 toffees more ,

So, we can say that now,

➺ 2x = 16

Dividing both sides by 2 now, we get,

➺ x = 8 .

So,

➪ Larger group has = 6x = 6*8 = 48 toffees..

➪ Smaller group has = 4x = 4*8 = 32 toffees.

Hence, Larger group has 48 toffee in Total and smaller group has 32 toffees in Total.

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If we Try to solve with Ratio method :-

❦ Larger Group : Smaller Group

6 : 4

=> 3 : 2

➾ Larger Group has = (3 - 2) = 1 unit Toffee More .

So,

☞ 1 unit = 16 Toffees

So,

☛ 2 unit = 16*2 = 32 toffees = smaller Group.

☛ 3 unit = 16*3 = 48 toffees = Larger Group.

Hence, we can say that Larger group has 48 toffee in Total and smaller group has 32 toffees in Total.

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