Answer:
6
Step-by-step explanation:
You must find the least common multiple of their schedules.
The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.
Six weekends must pass until they can both have someone over on the same night.
The number line below shows that the first time their sleepovers coincide is Week 6.
Because the answers are all in standard form, we can simply look for the intercepts of the graph.
x-int = (-6, 0)
y-int = (0, -2)
You must multiply these numbers by a coefficient to equal 12:
Solve both equations by dividing by their values:
Look for the answer with these coefficients. The answer is
-6x - 2y = 12.
11 as many fiction books as non fiction.
Fiction books F, Non Fiction NF
F: NF = 11 : 1
Total ratio 11+ 1 = 12.
Fraction of Fiction books F, = 11/12
Total books = 312.
Fiction books = 11/12 * 312 = 286
Fiction books = 286
