Let the points Capucine earned in library be l and the points she earned in museum be m.
So, 4l + 11m = 179 (1)
She earns 4 more points per museum than per library.
m = l + 4
Substitute the value of m in (1), we get,
4l + 11(l + 4) = 179
4l + 11l + 44 = 179
15l + 44 = 179
15l = 179 - 44
15l = 135
l = 9
m = l + 4
= 9 + 4
= 13
Hence, Capucine earns 9 points in building a library and 13 points in building a museum.
