Four families go to the cinema. the reid family take 2 adults and 2 children for £18 ; the mghee family take 1 senior, 2 adults and 1 child for £18.50; and the griffiths family take 1 senior and 3 adults for £19.50. how much will it cost the Linton family to take 1 senior, 2 adults and 3 children?

Step-by-step explanation:

Let

x = cost for one adult

y = cost for one child

z = cost for one senior.

The Reid family:

take 2 adults and 2 children and paid that is , so

The Mghee family:

take 1 senior, 2 adults and 1 child and paid that is , so

The Griffiths family:

take 1 senior and 3 adults and paid that is , so

You get the system of three equations:

From the first equation:

From the third equation:

Substitute them into the second equation:

Then

Hence,

the cost for one adult is

the cost for one child is

the cost for one senior is

The Linton family takes 1 senior, 2 adults and 3 children and paid

for the points! : )

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐