Question

P, Q and R play football. The ratio of the number of goals by 'P' to the number of goals by 'Q' and the
ratio of the number of goals by 'Q' to the number of goals by 'R' is each 3.2. They scored 342 goals in
total in the matches played in a year. How many goals did 'P' score?​

Answer 1

Given:

P, Q and R play football. The ratio of the number of goals by 'P' to the number of goals by 'Q' and the  ratio of the number of goals by 'Q' to the number of goals by 'R' is each 3:2

They scored 342 goals in  total in the matches played in a year.

To find:

How many goals did 'P' score?​

Solution:

According to the question, we have

$\frac{P}{Q} = \frac{Q}{R} = \frac{3}{2}$

i.e.,

P     :        Q   :      R

3     :        2

                3      :     2

(3×3)  :   (2×3)   :   (2×2)

 9       :     6      :    4

∴ The ratio of no. of goals by P, Q & R are = 9 : 6 : 4

Let's assume,

"9x" → No. of goals by P

"6x" → No. of goals by Q

"4x" → No. of goals by R

We have,

Total no. of goals scored by P, Q & R in the matches played in a year = 342

⇒ 9x + 6x + 4x = 342

⇒ 19x = 342

⇒ x = $\frac{342}{19}$

⇒ x = 18

∴ P's score = 9x = 9 × 18 = 162

Thus, $\boxed{\bold{P\:scored\: \underline{162}\:goals\:in\:the\:football\:match}}.$

----------------------------------------------------------------------------------------

Also View:

Number of goals scored by 3 players in a football match is in the ratio 2 : 3 : 5. Find the  percentage of their contributions.Number of goals scored by 3 players in a football match is in the ratio 2 : 3 : 5. Find the percentage of their contributions.​

https://brainly.in/question/24217307

Find the number which when added to each term of ratio 27 : 35, changes the ratio to 4 : 5.

https://brainly.in/question/4679361

the ratio of ages of a man and his son is 3:1 .after 15years, the age ratio will be 2:1.what is the age of man?

https://brainly.in/question/5396728