At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progress, A doubles match requires 4 players and a singles match requires 2 players.

a. write a system of two equations that represents the number of singles and doubles matches going on.

b. how many matches of each kind are in progress

Question

Mathematics

Giancarlo Warren

13 January, 05:05

At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progress, A doubles match requires 4 players and a singles match requires 2 players.

a. write a system of two equations that represents the number of singles and doubles matches going on.

b. how many matches of each kind are in progress

+3

Answers (1)

Know the Answer?

Ricardo Robles · Answer 1

X = number of singles matches

y = number of doubles mnathes

so we have the equation x + y = 13 ... (1)

also

2x + 4y = 38 ... (2)

(1) and (2) are the required equations

b) Find how many maches are in progress by solivng the above equations:-

x + y = 13 multiply this by - 2:-

-2x - 2y = - 26

2x + 4y = 38 Adding to removes the terms in x:-

2y = 12

y = 6

so x = 13-6 = 7

So the answer is 6 double matches and 7 singles are in progress.