Question #ff115

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Answer 1 · 2016-09-16T10:18:22

$$52$ .

There are $4$ persons in the Group.

To purchase a ticket, one has to pay $7.25.

$:." cost of 4 tickets "=4(7.25)....(1)$

To purchase a drink & popcorn, one has to pay $5.75.

$:." cost of the refreshment for 4 friends"=4(5.75)....(2)$

Clearly, to get the total cost for the group of 4 friends, we have to

add $(1) & (2),$ i.e.,

$"The total cost=" 4(7.25)+4(5.75).........(star)$

Now, here comes the Maths. to save your labour!

A Well-known Property of Numbers,

called "The Distributive Property" says that,

$a(b+c)=a*b+a*c,$ or, taking the other way round,

$a*b+a*c=a(b+c)$

Observe that, to get the total cost from $(star)$ , we have to

perform multiplication twice, but, by the Distributive Property as

shown in the last eqn., we have to multiply only once.

$"So, the total cost="4(7.25)+4(5.75)=4(7.25+5.75)=4(13.00)$ ,

$"i.e.,"=$52$ .

Enjoy Maths.!