Question

Divide 400 toffees among A ,B and C in the ratio 5 : 7 : 8 Find the share of A.​

Answer 1

Answer:

Let A,B and C get 5x, 7x and 8x number of toffees respectively

So,

$5x + 7x + 8x = 400$

$20x = 400$

$x = \frac{400}{20}$

$x = 20$

A's share = 5x = 5 x 20

= 100

A's share is 100 toffees

hope it helps

Answer 2

GiveN :

• Total number of toffees = 400
• Ratio 5 : 7 : 8 among A, B and C

To Find :

• The share of A.

How to do?

Firstly, we'll assume the three ratios as 5x, 7x and 8x.

• Share of A = 5x
• Share of B = 7x
• Share of C = 8x

Then after; we'll add up all the ratios and calculate the value of x and find the Share of A.

Solution :

$\implies \tt \: 5x + 7x + 8x = 400 \\ \implies \tt \: 20x = 400 \\ \implies \tt x = \: \cancel\dfrac{400}{20} \: \\ \implies \underline{ \boxed{ \green{ \tt{x = 20}}}}$

A/Q,

• Let's find the share of A by multiplying 5 with the value of x.

$\implies \bf \: A's \: share = 20 \times 5 \\ \\ \implies \underline{ \red{ \bf{A's \: share = 100}}}$

$\therefore \: \underline{ \sf{The \: share \: of \: A \: is \: \bf 100 \: toffees }}.$

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V E R I F I C A T I O N :

Let's check our answer now whether the values are correct or not..!

• A's share + B's share + C's share

L.H.S :

Total number of toffees = 400 toffes

R.H.S :

$\dag$ $\tiny{\underline{\sf{B's \: share}}}$

$\implies \tt \: B's \: share = 20 \times 7 \\ \\ \implies \underline{ \pink{ \tt{B's \: share = 140}}}$

$\dag$ $\tiny{\underline{\sf{C's \: share}}}$

$\implies \tt \: C's \: share = 20 \times 8 \\ \\ \implies \underline{ \purple{ \tt{C's \: share = 160}}}$

So, now let's add all the shares,

$\implies \bf \: 100 + 140 + 160 \\ \\ \implies \large\underline{ \blue{ \bf{400}}}$

$\therefore$ L.H.S = R.H.S

Hence, verified!