Question

A person spent ₹564 in buying geese and ducks, if each geese costs ₹7 and each duck ₹3 and the total birds bought are 108. How many of each type did he buy?​

Answer 1

☆ GIVEN: -

A person spent Rs.564 in buying geese and ducks.Each goose cost Rs 7 and each duck Rs 3.And total no of birds bought was 108.

☆ REQUIRED TO FIND: - How many of each type he bought,.

☆CONCEPT :-

In these type of questions, it is important to have all quantities expressed in same denominationsIn present instance it will be convenient to express the money in rupees.

☆ SOLUTION ☆

Let the no of goose be x,

》Then, no of duck will be 108 -x.

According to the question,

》7x +3(108-x) =564

》4x+324 =564

=> X = 60 .

Now, no of goose = 60

.And no of ducks = 108-60 = 48 .

☆ANSWER :- NO OF GOOSE = 60 & NO OF DUCKS = 48.

HOPE IT HELPS :)

Answer 2

Given : —

• Total money spent by the person = ₹564
• Cost of geese = ₹7
• Cost of duck = ₹3
• Total birds bought = 108 .

To find : —

• How many of birds of each type were bought by the person

Solution : —

Let us consider, the number of geese bought as x

so, the number of ducks bought will be = 108 - x

Total money spent = (Cost of a geese × Number of geese bought) + (Cost of a duck × Number of ducks bought)

→ 564 = 7x + 3(108 - x)

→ 564 = 7x + 324 - 3x

→ 564 = 4x + 324

→ 4x = 564 - 324

→ 4x = 240

→ x = $\sf{\dfrac{\cancel{240}}{\cancel{\; \; \; 4}}}$

→ x = 60

Now,

• The number of geese (x) = 60.
• Number of ducks (108 - x) = 108 - 60 = 48 .