Question

joy organised a large wedding. Guests had to choose their meal from beef, chicken or vegetarian. 1/3 of the guests chose beef, 5/12 of the guests chose chicken, 69 people chose vegetarian. how many guests were at the wedding

Answer 1

Required Answer:-

Let the total number of people who attended the wedding be x. Obviously they have eaten the food there, As we all do the same :)

Now, According to question:

• 1/3 of the guests chose beef
• 5/12 of the guests chose chicken
• 69 people chose vegetarian

The above data can be expressed as:

• Guests who chose beef + Guests who chose chicken + Guests who were vegetarian = Total number of guests$.$

Plugging the values according to data,

➙ x/3 + 5x/12 + 69 = x

➙ 9x/12 + 69 = x

➙ 12x/12 - 9x/12 = 69

➙ 3x/12 = 69

➙ x/4 = 69

➙ x = 276.

Hence:-

The total number of guests who attended the wedding party were:

$\underline{\boxed{\LARGE{\purple{\sf{276 (Ans)}}}}}$

Answer 2

${\large{\rm{\underline{Required \; Solution}}}}$

Question -

Joy organised a large wedding. Guests had to choose their meal from beef, chicken or vegetarian. 1/3 of the guests chose beef, 5/12 of the guests chose chicken, 69 people chose vegetarian. How many guests were at the wedding ?

Given that -

$\: \: \: \: \: \:{\bullet{\leadsto}}$ 1/3 of the guests chose beef

$\: \: \: \: \: \:{\bullet{\leadsto}}$ 5/12 of the guests chose chicken

$\: \: \: \: \: \:{\bullet{\leadsto}}$ 69 people chose vegetarian

To find -

$\: \: \: \: \: \:{\bullet{\leadsto}}$ Total guests were at the wedding.

Solution -

$\: \: \: \: \: \:{\bullet{\leadsto}}$ 276 were total guests at the wedding.

Full solution -

⚔ By viewing the given that we already know that 1/3 of the guests chose beef , 5/12 of the guests chose chicken , 69 people chose vegetarian express total number of guests because if someone go to weeding then the person's surely eat food as all...!

⚔ Henceforth, 1/3 of the guests chose beef + 5/12 of the guests chose chicken + 69 people chose vegetarian = Total number of guest at weeding.

⚔ Let total number of guests be a.

⚕️ a/3 + 5a/12 + 69 = a

⚕️ 9a/12 + 69 = a

⚕️ 12a/12 - 9a/12 = 69

⚕️ 3a/12 = 69

⚕️ 1a/4 = 69

⚕️ a/4 = 69

⚕️ a = 69 × 4

⚕️ a = 276

⚕️ Total guest = 276

${\green{\frak{Henceforth, \: 276 \: are \: total \: number \: of \: guests}}}$