Question

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. She earns 4 more points per museum than per library. How many points does Capucine earn for each thing she builds?

Answer 1

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.