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

Total points earned by Capucine = 179

Total museums built by Capucine = 11

Total libraries built by Capucine = 4

We know that Capucine earned 4 more points per museum than per library

Let Points earned per library = x

⇒ Points earned per museum = x + 4

Now, Total points earned = (Number of libraries built * Points earned per library) + (Number of museums built * Points earned per museum)

⇒ 179 = (4 * x) + [11 *(x+4)]

⇒ 179 = 4x + 11x + 44

⇒ 135 = 15x

⇒ x = 9

Hence, x + 4 = 13

So, Capucine earns 9 points per library and 13 points per museum.