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

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.

Lets assume  x points she earn per library

She earns 4 more points  for museum than  library.

4 more points per museum per x .  so the points earned per museum is x+4

she earned 179 points from 11 museums and 4 libraries.

So the equation becomes

$11 (x+4) + 4x = 179$

$11x +44 + 4x = 179$

$15x + 44 = 179$ ( subtract 44 from both sides)

$15x= 135$ (divide by 15 from both sides)

x = 9

She earns 9 points per library

We know points per museum = x+4 = 9+4 = 13

She earns 13 points per museum .