For example, if there are X badminton courts in singles and Y badminton courts in doubles, it will be worth it.

X+Y= 15 ( 1)

2X+4Y=46 (2)

X+Y= 15

Y= 15-X

Substitution into (2) becomes

2X+4( 15-X)=46

2X+60-4X=46

-2X=46-60

-2X=- 14

X=7

Y= 15-X= 15-7=8

A: There are seven single badminton courts and eight double badminton courts.