Question

Tony and Joy shared 49 mangoes in the ratio of 3:4. How many mangoes did Joy receive more than Tony?

Answer 1

Answer:

Joy recieve 7 mangoes more than Tony.

Answer 2

$\underline{\underline{\Large{\sf{Given : }}}}$

• Tony and Joy shared 49 mangoes in the ratio 3:4

$\underline{\underline{\Large{\sf{To \: calculate : }}}}$

• Number of mangoes received by Joy more than Tony.

$\underline{\underline{\Large{\sf{Calculations : }}}}$

Assumption: Let us assume that Tony got 3x mangoes and Joy got 4x mangoes out of 49 mangoes.

$\purple{\dag}$ Now, calculating the total number of mangoes received by Joy more than Tony.

$: \implies \sf 3x + 4x = 49$

On adding the numbers in L.H.S,

$: \implies \sf 7x = 49$

Transposing 7 to R.H.S and performing division,

$: \implies \sf x = \cancel\dfrac{49}{7}$

On cancelling the numbers,

$: \implies \underline{\boxed{\tt{ x = 7}}} \: \blue{\bigstar}$

Therefore, Joy received 7 mangoes more than Tony.